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Finding the Fourth Proportional to 391,384,902.06, 585,799,876.98 and 287,726,646.15

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Solution

The fourth proportional to 391,384,902.06, 585,799,876.98 and 287,726,646.15 is: 430,650,832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,384,902.06 : 585,799,876.98 = 287,726,646.15 : x
  2. Step 2: Convert to fraction form
    391,384,902.06/585,799,876.98 = 287,726,646.15/x
  3. Step 3: Cross multiply
    391,384,902.06x = 585,799,876.98 × 287,726,646.15
  4. Step 4: Simplify right side
    391,384,902.06x = 168,550,233,918,537,984
  5. Step 5: Solve for x
    x = 168,550,233,918,537,984/391,384,902.06
  6. Step 6: Final answer
    x = 430,650,832.55

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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.