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Finding the Fourth Proportional to 422,382.32, 633,520.62 and 138,049.10

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Solution

The fourth proportional to 422,382.32, 633,520.62 and 138,049.10 is: 207,056.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,382.32 : 633,520.62 = 138,049.10 : x
  2. Step 2: Convert to fraction form
    422,382.32/633,520.62 = 138,049.10/x
  3. Step 3: Cross multiply
    422,382.32x = 633,520.62 × 138,049.10
  4. Step 4: Simplify right side
    422,382.32x = 87,456,951,422.44
  5. Step 5: Solve for x
    x = 87,456,951,422.44/422,382.32
  6. Step 6: Final answer
    x = 207,056.37

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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.