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Finding the Fourth Proportional to 381,801.32, 527,451.72 and 251,286.74

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Solution

The fourth proportional to 381,801.32, 527,451.72 and 251,286.74 is: 347,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,801.32 : 527,451.72 = 251,286.74 : x
  2. Step 2: Convert to fraction form
    381,801.32/527,451.72 = 251,286.74/x
  3. Step 3: Cross multiply
    381,801.32x = 527,451.72 × 251,286.74
  4. Step 4: Simplify right side
    381,801.32x = 132,541,623,226.19
  5. Step 5: Solve for x
    x = 132,541,623,226.19/381,801.32
  6. Step 6: Final answer
    x = 347,148.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.