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Finding the Fourth Proportional to 431,382.30, 647,073.45 and 165,005.70

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Solution

The fourth proportional to 431,382.30, 647,073.45 and 165,005.70 is: 247,508.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,382.30 : 647,073.45 = 165,005.70 : x
  2. Step 2: Convert to fraction form
    431,382.30/647,073.45 = 165,005.70/x
  3. Step 3: Cross multiply
    431,382.30x = 647,073.45 × 165,005.70
  4. Step 4: Simplify right side
    431,382.30x = 106,770,807,568.67
  5. Step 5: Solve for x
    x = 106,770,807,568.67/431,382.30
  6. Step 6: Final answer
    x = 247,508.55

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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.