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Finding the Fourth Proportional to 458,208.87, 687,412.17 and 138,334.20

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Solution

The fourth proportional to 458,208.87, 687,412.17 and 138,334.20 is: 207,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,208.87 : 687,412.17 = 138,334.20 : x
  2. Step 2: Convert to fraction form
    458,208.87/687,412.17 = 138,334.20/x
  3. Step 3: Cross multiply
    458,208.87x = 687,412.17 × 138,334.20
  4. Step 4: Simplify right side
    458,208.87x = 95,092,612,607.21
  5. Step 5: Solve for x
    x = 95,092,612,607.21/458,208.87
  6. Step 6: Final answer
    x = 207,531.15

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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.