Proportions ... How do I manipulate these numbers to give me a combined weight of exactly 3000g?

[neiloneil]

I have recently learnt how to proportion a bread recipe which I make.

The recipe is
320g starter dough
450g water
800g flour

If I want a larger mix, and I have 500g of the starter dough, i can easily work out the proportion of other ingredients, by dividing 500g by 320g (1.56), then multiplying the result by 450g (=703g) for water and by 800g (=1250g) for the flour.

I like the way these numbers work out precisely the amount I need. I'm trying to work out something else, now I feel so smart. How do I manipulate these numbers to give me a combined weight of exactly 3000g , whilst still maintaining the proportions? Can you help me out please?

 

[Deleted member 4993]

I have recently learnt how to proportion a bread recipe which I make.

The recipe is
320g starter dough
450g water
800g flour

If I want a larger mix, and I have 500g of the starter dough, i can easily work out the proportion of other ingredients, by dividing 500g by 320g (1.56), then multiplying the result by 450g (=703g) for water and by 800g (=1250g) for the flour.

I like the way these numbers work out precisely the amount I need. I'm trying to work out something else, now I feel so smart. How do I manipulate these numbers to give me a combined weight of exactly 3000g , whilst still maintaining the proportions? Can you help me out please?

Similar method:

dough : water : flour = 32 : 45 : 80

so if you wanted to make total of (32 + 45 +80 = ) 157 gms of mix you will use

dough = 32 gms

water = 45 gms

flour = 80 gms

so to make 3000 g of mix you will need:

dough = 32 * 3000/157 = ? gms

water = 45 * 3000/157 = ? gms

flour = 80 * 3000/157 = ? gms

continue....

 

[neiloneil]

Thanks Subhotosh
With my new skill, which I learnt from you. I now know that, to make a 3000g mix I will need 610g of dough, 860g of water, and 1529g of flour.
It is 2999 gms , but this is fine for my recipe.

Thanks again for the fast reply.