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Finding the Fourth Proportional to 431,734.90, 647,603.88 and 132,214.18

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Solution

The fourth proportional to 431,734.90, 647,603.88 and 132,214.18 is: 198,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,734.90 : 647,603.88 = 132,214.18 : x
  2. Step 2: Convert to fraction form
    431,734.90/647,603.88 = 132,214.18/x
  3. Step 3: Cross multiply
    431,734.90x = 647,603.88 × 132,214.18
  4. Step 4: Simplify right side
    431,734.90x = 85,622,415,959.02
  5. Step 5: Solve for x
    x = 85,622,415,959.02/431,734.90
  6. Step 6: Final answer
    x = 198,321.74

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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.