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Finding the Fourth Proportional to 381,332.59, 571,658.97 and 144,841.35

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Solution

The fourth proportional to 381,332.59, 571,658.97 and 144,841.35 is: 217,132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,332.59 : 571,658.97 = 144,841.35 : x
  2. Step 2: Convert to fraction form
    381,332.59/571,658.97 = 144,841.35/x
  3. Step 3: Cross multiply
    381,332.59x = 571,658.97 × 144,841.35
  4. Step 4: Simplify right side
    381,332.59x = 82,799,856,954.41
  5. Step 5: Solve for x
    x = 82,799,856,954.41/381,332.59
  6. Step 6: Final answer
    x = 217,132.92

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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.