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Finding the Fourth Proportional to 431,363.30, 647,021.42 and 131,843.78

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Solution

The fourth proportional to 431,363.30, 647,021.42 and 131,843.78 is: 197,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,363.30 : 647,021.42 = 131,843.78 : x
  2. Step 2: Convert to fraction form
    431,363.30/647,021.42 = 131,843.78/x
  3. Step 3: Cross multiply
    431,363.30x = 647,021.42 × 131,843.78
  4. Step 4: Simplify right side
    431,363.30x = 85,305,750,712.10
  5. Step 5: Solve for x
    x = 85,305,750,712.10/431,363.30
  6. Step 6: Final answer
    x = 197,758.48

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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.