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Finding the Fourth Proportional to 422,718.26, 634,155.12 and 138,424.64

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Solution

The fourth proportional to 422,718.26, 634,155.12 and 138,424.64 is: 207,662.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,718.26 : 634,155.12 = 138,424.64 : x
  2. Step 2: Convert to fraction form
    422,718.26/634,155.12 = 138,424.64/x
  3. Step 3: Cross multiply
    422,718.26x = 634,155.12 × 138,424.64
  4. Step 4: Simplify right side
    422,718.26x = 87,782,691,019.38
  5. Step 5: Solve for x
    x = 87,782,691,019.38/422,718.26
  6. Step 6: Final answer
    x = 207,662.41

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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.