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Finding the Fourth Proportional to 431,442.93, 647,456.01 and 150,962.61

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Solution

The fourth proportional to 431,442.93, 647,456.01 and 150,962.61 is: 226,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,442.93 : 647,456.01 = 150,962.61 : x
  2. Step 2: Convert to fraction form
    431,442.93/647,456.01 = 150,962.61/x
  3. Step 3: Cross multiply
    431,442.93x = 647,456.01 × 150,962.61
  4. Step 4: Simplify right side
    431,442.93x = 97,741,649,129.79
  5. Step 5: Solve for x
    x = 97,741,649,129.79/431,442.93
  6. Step 6: Final answer
    x = 226,545.95

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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.