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Finding the Fourth Proportional to 381,079.66, 571,121.18 and 156,176.78

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Solution

The fourth proportional to 381,079.66, 571,121.18 and 156,176.78 is: 234,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,079.66 : 571,121.18 = 156,176.78 : x
  2. Step 2: Convert to fraction form
    381,079.66/571,121.18 = 156,176.78/x
  3. Step 3: Cross multiply
    381,079.66x = 571,121.18 × 156,176.78
  4. Step 4: Simplify right side
    381,079.66x = 89,195,866,882.20
  5. Step 5: Solve for x
    x = 89,195,866,882.20/381,079.66
  6. Step 6: Final answer
    x = 234,060.95

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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.