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Finding the Fourth Proportional to 222,453.90, 306,986.11 and 120,479.30

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Solution

The fourth proportional to 222,453.90, 306,986.11 and 120,479.30 is: 166,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,453.90 : 306,986.11 = 120,479.30 : x
  2. Step 2: Convert to fraction form
    222,453.90/306,986.11 = 120,479.30/x
  3. Step 3: Cross multiply
    222,453.90x = 306,986.11 × 120,479.30
  4. Step 4: Simplify right side
    222,453.90x = 36,985,469,806.39
  5. Step 5: Solve for x
    x = 36,985,469,806.39/222,453.90
  6. Step 6: Final answer
    x = 166,261.28

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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.