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Finding the Fourth Proportional to 431,767.47, 647,682.35 and 132,209.13

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Solution

The fourth proportional to 431,767.47, 647,682.35 and 132,209.13 is: 198,323.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,767.47 : 647,682.35 = 132,209.13 : x
  2. Step 2: Convert to fraction form
    431,767.47/647,682.35 = 132,209.13/x
  3. Step 3: Cross multiply
    431,767.47x = 647,682.35 × 132,209.13
  4. Step 4: Simplify right side
    431,767.47x = 85,629,519,348.81
  5. Step 5: Solve for x
    x = 85,629,519,348.81/431,767.47
  6. Step 6: Final answer
    x = 198,323.23

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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.