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Finding the Fourth Proportional to 431,490.12, 647,234.63 and 115,947.03

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Solution

The fourth proportional to 431,490.12, 647,234.63 and 115,947.03 is: 173,920.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,490.12 : 647,234.63 = 115,947.03 : x
  2. Step 2: Convert to fraction form
    431,490.12/647,234.63 = 115,947.03/x
  3. Step 3: Cross multiply
    431,490.12x = 647,234.63 × 115,947.03
  4. Step 4: Simplify right side
    431,490.12x = 75,044,932,481.91
  5. Step 5: Solve for x
    x = 75,044,932,481.91/431,490.12
  6. Step 6: Final answer
    x = 173,920.40

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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.