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Finding the Fourth Proportional to 431,801.28, 647,745 and 132,278.40

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Solution

The fourth proportional to 431,801.28, 647,745 and 132,278.40 is: 198,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,801.28 : 647,745 = 132,278.40 : x
  2. Step 2: Convert to fraction form
    431,801.28/647,745 = 132,278.40/x
  3. Step 3: Cross multiply
    431,801.28x = 647,745 × 132,278.40
  4. Step 4: Simplify right side
    431,801.28x = 85,682,672,208
  5. Step 5: Solve for x
    x = 85,682,672,208/431,801.28
  6. Step 6: Final answer
    x = 198,430.80

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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.