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Finding the Fourth Proportional to 381,934.64, 527,084.76 and 261,328.88

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Solution

The fourth proportional to 381,934.64, 527,084.76 and 261,328.88 is: 360,644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,934.64 : 527,084.76 = 261,328.88 : x
  2. Step 2: Convert to fraction form
    381,934.64/527,084.76 = 261,328.88/x
  3. Step 3: Cross multiply
    381,934.64x = 527,084.76 × 261,328.88
  4. Step 4: Simplify right side
    381,934.64x = 137,742,469,995.87
  5. Step 5: Solve for x
    x = 137,742,469,995.87/381,934.64
  6. Step 6: Final answer
    x = 360,644.09

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1.5x scale

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.