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Finding the Fourth Proportional to 431,729.60, 647,596.01 and 132,209.01

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Solution

The fourth proportional to 431,729.60, 647,596.01 and 132,209.01 is: 198,314.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,729.60 : 647,596.01 = 132,209.01 : x
  2. Step 2: Convert to fraction form
    431,729.60/647,596.01 = 132,209.01/x
  3. Step 3: Cross multiply
    431,729.60x = 647,596.01 × 132,209.01
  4. Step 4: Simplify right side
    431,729.60x = 85,618,027,692.57
  5. Step 5: Solve for x
    x = 85,618,027,692.57/431,729.60
  6. Step 6: Final answer
    x = 198,314.01

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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.