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Finding the Fourth Proportional to 381,157.38, 571,747.95 and 141,330.96

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Solution

The fourth proportional to 381,157.38, 571,747.95 and 141,330.96 is: 212,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,157.38 : 571,747.95 = 141,330.96 : x
  2. Step 2: Convert to fraction form
    381,157.38/571,747.95 = 141,330.96/x
  3. Step 3: Cross multiply
    381,157.38x = 571,747.95 × 141,330.96
  4. Step 4: Simplify right side
    381,157.38x = 80,805,686,651.53
  5. Step 5: Solve for x
    x = 80,805,686,651.53/381,157.38
  6. Step 6: Final answer
    x = 212,000.85

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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.