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Finding the Fourth Proportional to 422,719.26, 634,156.62 and 138,425.64

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Solution

The fourth proportional to 422,719.26, 634,156.62 and 138,425.64 is: 207,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,719.26 : 634,156.62 = 138,425.64 : x
  2. Step 2: Convert to fraction form
    422,719.26/634,156.62 = 138,425.64/x
  3. Step 3: Cross multiply
    422,719.26x = 634,156.62 × 138,425.64
  4. Step 4: Simplify right side
    422,719.26x = 87,783,535,983.74
  5. Step 5: Solve for x
    x = 87,783,535,983.74/422,719.26
  6. Step 6: Final answer
    x = 207,663.91

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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.