Finding the Fourth Proportional to 728,224,134.30, 1,004,755,544.55 and 414,951,670.62
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Solution
The fourth proportional to 728,224,134.30, 1,004,755,544.55 and 414,951,670.62 is: 572,522,898.02
Step by Step Solution
- Step 1: Write the proportion equation
728,224,134.30 : 1,004,755,544.55 = 414,951,670.62 : x - Step 2: Convert to fraction form
728,224,134.30/1,004,755,544.55 = 414,951,670.62/x - Step 3: Cross multiply
728,224,134.30x = 1,004,755,544.55 × 414,951,670.62 - Step 4: Simplify right side
728,224,134.30x = 416,924,991,775,730,304 - Step 5: Solve for x
x = 416,924,991,775,730,304/728,224,134.30 - Step 6: Final answer
x = 572,522,898.02
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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.