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Finding the Fourth Proportional to 431,402.31, 647,105.13 and 131,881.77

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Solution

The fourth proportional to 431,402.31, 647,105.13 and 131,881.77 is: 197,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,402.31 : 647,105.13 = 131,881.77 : x
  2. Step 2: Convert to fraction form
    431,402.31/647,105.13 = 131,881.77/x
  3. Step 3: Cross multiply
    431,402.31x = 647,105.13 × 131,881.77
  4. Step 4: Simplify right side
    431,402.31x = 85,341,369,920.48
  5. Step 5: Solve for x
    x = 85,341,369,920.48/431,402.31
  6. Step 6: Final answer
    x = 197,823.16

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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.