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Finding the Fourth Proportional to 324,989.34, 487,691.73 and 138,000.66

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Solution

The fourth proportional to 324,989.34, 487,691.73 and 138,000.66 is: 207,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,989.34 : 487,691.73 = 138,000.66 : x
  2. Step 2: Convert to fraction form
    324,989.34/487,691.73 = 138,000.66/x
  3. Step 3: Cross multiply
    324,989.34x = 487,691.73 × 138,000.66
  4. Step 4: Simplify right side
    324,989.34x = 67,301,780,616.54
  5. Step 5: Solve for x
    x = 67,301,780,616.54/324,989.34
  6. Step 6: Final answer
    x = 207,089.19

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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.