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Finding the Fourth Proportional to 431,571.56, 647,330.23 and 132,028.34

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Solution

The fourth proportional to 431,571.56, 647,330.23 and 132,028.34 is: 198,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,571.56 : 647,330.23 = 132,028.34 : x
  2. Step 2: Convert to fraction form
    431,571.56/647,330.23 = 132,028.34/x
  3. Step 3: Cross multiply
    431,571.56x = 647,330.23 × 132,028.34
  4. Step 4: Simplify right side
    431,571.56x = 85,465,936,986.97
  5. Step 5: Solve for x
    x = 85,465,936,986.97/431,571.56
  6. Step 6: Final answer
    x = 198,034.22

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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.