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Finding the Fourth Proportional to 431,456.37, 647,184.24 and 115,913.13

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Solution

The fourth proportional to 431,456.37, 647,184.24 and 115,913.13 is: 173,869.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,456.37 : 647,184.24 = 115,913.13 : x
  2. Step 2: Convert to fraction form
    431,456.37/647,184.24 = 115,913.13/x
  3. Step 3: Cross multiply
    431,456.37x = 647,184.24 × 115,913.13
  4. Step 4: Simplify right side
    431,456.37x = 75,017,150,945.07
  5. Step 5: Solve for x
    x = 75,017,150,945.07/431,456.37
  6. Step 6: Final answer
    x = 173,869.61

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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.