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Finding the Fourth Proportional to 381,032.91, 571,565.16 and 156,234.83

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Solution

The fourth proportional to 381,032.91, 571,565.16 and 156,234.83 is: 234,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,032.91 : 571,565.16 = 156,234.83 : x
  2. Step 2: Convert to fraction form
    381,032.91/571,565.16 = 156,234.83/x
  3. Step 3: Cross multiply
    381,032.91x = 571,565.16 × 156,234.83
  4. Step 4: Simplify right side
    381,032.91x = 89,298,382,748.70
  5. Step 5: Solve for x
    x = 89,298,382,748.70/381,032.91
  6. Step 6: Final answer
    x = 234,358.71

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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.