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Finding the Fourth Proportional to 493,233.12, 739,791.77 and 138,275.73

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Solution

The fourth proportional to 493,233.12, 739,791.77 and 138,275.73 is: 207,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,233.12 : 739,791.77 = 138,275.73 : x
  2. Step 2: Convert to fraction form
    493,233.12/739,791.77 = 138,275.73/x
  3. Step 3: Cross multiply
    493,233.12x = 739,791.77 × 138,275.73
  4. Step 4: Simplify right side
    493,233.12x = 102,295,246,353.36
  5. Step 5: Solve for x
    x = 102,295,246,353.36/493,233.12
  6. Step 6: Final answer
    x = 207,397.36

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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.