Finding the Fourth Proportional to 472,409,657.70, 708,614,486.55 and 406,652,691.30
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Solution
The fourth proportional to 472,409,657.70, 708,614,486.55 and 406,652,691.30 is: 609,979,036.95
Step by Step Solution
- Step 1: Write the proportion equation
472,409,657.70 : 708,614,486.55 = 406,652,691.30 : x - Step 2: Convert to fraction form
472,409,657.70/708,614,486.55 = 406,652,691.30/x - Step 3: Cross multiply
472,409,657.70x = 708,614,486.55 × 406,652,691.30 - Step 4: Simplify right side
472,409,657.70x = 288,159,988,049,725,152 - Step 5: Solve for x
x = 288,159,988,049,725,152/472,409,657.70 - Step 6: Final answer
x = 609,979,036.95
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.