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Finding the Fourth Proportional to 381,339.70, 572,013.50 and 115,102.42

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Solution

The fourth proportional to 381,339.70, 572,013.50 and 115,102.42 is: 172,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,339.70 : 572,013.50 = 115,102.42 : x
  2. Step 2: Convert to fraction form
    381,339.70/572,013.50 = 115,102.42/x
  3. Step 3: Cross multiply
    381,339.70x = 572,013.50 × 115,102.42
  4. Step 4: Simplify right side
    381,339.70x = 65,840,136,117.12
  5. Step 5: Solve for x
    x = 65,840,136,117.12/381,339.70
  6. Step 6: Final answer
    x = 172,654.82

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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.