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Finding the Fourth Proportional to 381,253.47, 571,481.15 and 128,446.59

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Solution

The fourth proportional to 381,253.47, 571,481.15 and 128,446.59 is: 192,535.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,253.47 : 571,481.15 = 128,446.59 : x
  2. Step 2: Convert to fraction form
    381,253.47/571,481.15 = 128,446.59/x
  3. Step 3: Cross multiply
    381,253.47x = 571,481.15 × 128,446.59
  4. Step 4: Simplify right side
    381,253.47x = 73,404,804,324.55
  5. Step 5: Solve for x
    x = 73,404,804,324.55/381,253.47
  6. Step 6: Final answer
    x = 192,535.44

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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.