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Finding the Fourth Proportional to 409,747.43, 614,711.42 and 125,440.13

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Solution

The fourth proportional to 409,747.43, 614,711.42 and 125,440.13 is: 188,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,747.43 : 614,711.42 = 125,440.13 : x
  2. Step 2: Convert to fraction form
    409,747.43/614,711.42 = 125,440.13/x
  3. Step 3: Cross multiply
    409,747.43x = 614,711.42 × 125,440.13
  4. Step 4: Simplify right side
    409,747.43x = 77,109,480,437.28
  5. Step 5: Solve for x
    x = 77,109,480,437.28/409,747.43
  6. Step 6: Final answer
    x = 188,187.83

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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.