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Finding the Fourth Proportional to 381,139.80, 571,771.86 and 156,439.92

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Solution

The fourth proportional to 381,139.80, 571,771.86 and 156,439.92 is: 234,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,139.80 : 571,771.86 = 156,439.92 : x
  2. Step 2: Convert to fraction form
    381,139.80/571,771.86 = 156,439.92/x
  3. Step 3: Cross multiply
    381,139.80x = 571,771.86 × 156,439.92
  4. Step 4: Simplify right side
    381,139.80x = 89,447,944,036.65
  5. Step 5: Solve for x
    x = 89,447,944,036.65/381,139.80
  6. Step 6: Final answer
    x = 234,685.39

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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.