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Finding the Fourth Proportional to 458,129, 687,282.96 and 138,306.80

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Solution

The fourth proportional to 458,129, 687,282.96 and 138,306.80 is: 207,487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,129 : 687,282.96 = 138,306.80 : x
  2. Step 2: Convert to fraction form
    458,129/687,282.96 = 138,306.80/x
  3. Step 3: Cross multiply
    458,129x = 687,282.96 × 138,306.80
  4. Step 4: Simplify right side
    458,129x = 95,055,906,892.13
  5. Step 5: Solve for x
    x = 95,055,906,892.13/458,129
  6. Step 6: Final answer
    x = 207,487.21

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1.5x scale

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.