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Finding the Fourth Proportional to 431,893.55, 647,964.83 and 132,418.33

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Solution

The fourth proportional to 431,893.55, 647,964.83 and 132,418.33 is: 198,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,893.55 : 647,964.83 = 132,418.33 : x
  2. Step 2: Convert to fraction form
    431,893.55/647,964.83 = 132,418.33/x
  3. Step 3: Cross multiply
    431,893.55x = 647,964.83 × 132,418.33
  4. Step 4: Simplify right side
    431,893.55x = 85,802,419,398.47
  5. Step 5: Solve for x
    x = 85,802,419,398.47/431,893.55
  6. Step 6: Final answer
    x = 198,665.66

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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.