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Finding the Fourth Proportional to 431,490.62, 647,235.38 and 115,947.53

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Solution

The fourth proportional to 431,490.62, 647,235.38 and 115,947.53 is: 173,921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,490.62 : 647,235.38 = 115,947.53 : x
  2. Step 2: Convert to fraction form
    431,490.62/647,235.38 = 115,947.53/x
  3. Step 3: Cross multiply
    431,490.62x = 647,235.38 × 115,947.53
  4. Step 4: Simplify right side
    431,490.62x = 75,045,343,059.87
  5. Step 5: Solve for x
    x = 75,045,343,059.87/431,490.62
  6. Step 6: Final answer
    x = 173,921.15

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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.