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Finding the Fourth Proportional to 381,932.64, 527,082 and 261,326.88

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Solution

The fourth proportional to 381,932.64, 527,082 and 261,326.88 is: 360,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,932.64 : 527,082 = 261,326.88 : x
  2. Step 2: Convert to fraction form
    381,932.64/527,082 = 261,326.88/x
  3. Step 3: Cross multiply
    381,932.64x = 527,082 × 261,326.88
  4. Step 4: Simplify right side
    381,932.64x = 137,740,694,564.16
  5. Step 5: Solve for x
    x = 137,740,694,564.16/381,932.64
  6. Step 6: Final answer
    x = 360,641.33

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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.