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Finding the Fourth Proportional to 222,407.38, 306,922.35 and 120,433.65

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Solution

The fourth proportional to 222,407.38, 306,922.35 and 120,433.65 is: 166,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,407.38 : 306,922.35 = 120,433.65 : x
  2. Step 2: Convert to fraction form
    222,407.38/306,922.35 = 120,433.65/x
  3. Step 3: Cross multiply
    222,407.38x = 306,922.35 × 120,433.65
  4. Step 4: Simplify right side
    222,407.38x = 36,963,777,500.31
  5. Step 5: Solve for x
    x = 36,963,777,500.31/222,407.38
  6. Step 6: Final answer
    x = 166,198.52

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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.