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Finding the Fourth Proportional to 431,549.28, 647,323.92 and 151,146.72

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Solution

The fourth proportional to 431,549.28, 647,323.92 and 151,146.72 is: 226,720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,549.28 : 647,323.92 = 151,146.72 : x
  2. Step 2: Convert to fraction form
    431,549.28/647,323.92 = 151,146.72/x
  3. Step 3: Cross multiply
    431,549.28x = 647,323.92 × 151,146.72
  4. Step 4: Simplify right side
    431,549.28x = 97,840,887,285.54
  5. Step 5: Solve for x
    x = 97,840,887,285.54/431,549.28
  6. Step 6: Final answer
    x = 226,720.08

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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.