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Finding the Fourth Proportional to 381,132.90, 571,514.12 and 114,843.78

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Solution

The fourth proportional to 381,132.90, 571,514.12 and 114,843.78 is: 172,209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,132.90 : 571,514.12 = 114,843.78 : x
  2. Step 2: Convert to fraction form
    381,132.90/571,514.12 = 114,843.78/x
  3. Step 3: Cross multiply
    381,132.90x = 571,514.12 × 114,843.78
  4. Step 4: Simplify right side
    381,132.90x = 65,634,841,864.17
  5. Step 5: Solve for x
    x = 65,634,841,864.17/381,132.90
  6. Step 6: Final answer
    x = 172,209.86

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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.