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Finding the Fourth Proportional to 381,471.80, 572,286.58 and 125,323.78

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Solution

The fourth proportional to 381,471.80, 572,286.58 and 125,323.78 is: 188,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,471.80 : 572,286.58 = 125,323.78 : x
  2. Step 2: Convert to fraction form
    381,471.80/572,286.58 = 125,323.78/x
  3. Step 3: Cross multiply
    381,471.80x = 572,286.58 × 125,323.78
  4. Step 4: Simplify right side
    381,471.80x = 71,721,116,822.25
  5. Step 5: Solve for x
    x = 71,721,116,822.25/381,471.80
  6. Step 6: Final answer
    x = 188,011.58

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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.