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Finding the Fourth Proportional to 222,449.21, 306,978.39 and 120,472.33

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Solution

The fourth proportional to 222,449.21, 306,978.39 and 120,472.33 is: 166,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,449.21 : 306,978.39 = 120,472.33 : x
  2. Step 2: Convert to fraction form
    222,449.21/306,978.39 = 120,472.33/x
  3. Step 3: Cross multiply
    222,449.21x = 306,978.39 × 120,472.33
  4. Step 4: Simplify right side
    222,449.21x = 36,982,399,765.70
  5. Step 5: Solve for x
    x = 36,982,399,765.70/222,449.21
  6. Step 6: Final answer
    x = 166,250.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.