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Finding the Fourth Proportional to 431,351.43, 647,027.15 and 131,832.87

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Solution

The fourth proportional to 431,351.43, 647,027.15 and 131,832.87 is: 197,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,351.43 : 647,027.15 = 131,832.87 : x
  2. Step 2: Convert to fraction form
    431,351.43/647,027.15 = 131,832.87/x
  3. Step 3: Cross multiply
    431,351.43x = 647,027.15 × 131,832.87
  4. Step 4: Simplify right side
    431,351.43x = 85,299,445,493.26
  5. Step 5: Solve for x
    x = 85,299,445,493.26/431,351.43
  6. Step 6: Final answer
    x = 197,749.31

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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.