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Finding the Fourth Proportional to 422,729.32, 633,909.66 and 159,889

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Solution

The fourth proportional to 422,729.32, 633,909.66 and 159,889 is: 239,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,729.32 : 633,909.66 = 159,889 : x
  2. Step 2: Convert to fraction form
    422,729.32/633,909.66 = 159,889/x
  3. Step 3: Cross multiply
    422,729.32x = 633,909.66 × 159,889
  4. Step 4: Simplify right side
    422,729.32x = 101,355,181,627.74
  5. Step 5: Solve for x
    x = 101,355,181,627.74/422,729.32
  6. Step 6: Final answer
    x = 239,763.78

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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.