Finding the Fourth Proportional to 906,970,294.26, 1,251,615,936.74 and 510,493,054.14
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Solution
The fourth proportional to 906,970,294.26, 1,251,615,936.74 and 510,493,054.14 is: 704,478,687.12
Step by Step Solution
- Step 1: Write the proportion equation
906,970,294.26 : 1,251,615,936.74 = 510,493,054.14 : x - Step 2: Convert to fraction form
906,970,294.26/1,251,615,936.74 = 510,493,054.14/x - Step 3: Cross multiply
906,970,294.26x = 1,251,615,936.74 × 510,493,054.14 - Step 4: Simplify right side
906,970,294.26x = 638,941,242,154,147,072 - Step 5: Solve for x
x = 638,941,242,154,147,072/906,970,294.26 - Step 6: Final answer
x = 704,478,687.12
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.