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Finding the Fourth Proportional to 422,769.32, 634,251.58 and 142,279.72

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Solution

The fourth proportional to 422,769.32, 634,251.58 and 142,279.72 is: 213,452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,769.32 : 634,251.58 = 142,279.72 : x
  2. Step 2: Convert to fraction form
    422,769.32/634,251.58 = 142,279.72/x
  3. Step 3: Cross multiply
    422,769.32x = 634,251.58 × 142,279.72
  4. Step 4: Simplify right side
    422,769.32x = 90,241,137,211.96
  5. Step 5: Solve for x
    x = 90,241,137,211.96/422,769.32
  6. Step 6: Final answer
    x = 213,452.43

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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.