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Finding the Fourth Proportional to 431,568.95, 647,326.29 and 132,025.73

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Solution

The fourth proportional to 431,568.95, 647,326.29 and 132,025.73 is: 198,030.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,568.95 : 647,326.29 = 132,025.73 : x
  2. Step 2: Convert to fraction form
    431,568.95/647,326.29 = 132,025.73/x
  3. Step 3: Cross multiply
    431,568.95x = 647,326.29 × 132,025.73
  4. Step 4: Simplify right side
    431,568.95x = 85,463,722,748.81
  5. Step 5: Solve for x
    x = 85,463,722,748.81/431,568.95
  6. Step 6: Final answer
    x = 198,030.29

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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.