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Finding the Fourth Proportional to 431,569.53, 647,327.13 and 132,026.31

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Solution

The fourth proportional to 431,569.53, 647,327.13 and 132,026.31 is: 198,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,569.53 : 647,327.13 = 132,026.31 : x
  2. Step 2: Convert to fraction form
    431,569.53/647,327.13 = 132,026.31/x
  3. Step 3: Cross multiply
    431,569.53x = 647,327.13 × 132,026.31
  4. Step 4: Simplify right side
    431,569.53x = 85,464,212,336.79
  5. Step 5: Solve for x
    x = 85,464,212,336.79/431,569.53
  6. Step 6: Final answer
    x = 198,031.15

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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.