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Finding the Fourth Proportional to 222,454.52, 306,986.97 and 120,479.92

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Solution

The fourth proportional to 222,454.52, 306,986.97 and 120,479.92 is: 166,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,454.52 : 306,986.97 = 120,479.92 : x
  2. Step 2: Convert to fraction form
    222,454.52/306,986.97 = 120,479.92/x
  3. Step 3: Cross multiply
    222,454.52x = 306,986.97 × 120,479.92
  4. Step 4: Simplify right side
    222,454.52x = 36,985,765,586.64
  5. Step 5: Solve for x
    x = 36,985,765,586.64/222,454.52
  6. Step 6: Final answer
    x = 166,262.14

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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.