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Finding the Fourth Proportional to 252,404.32, 378,604.56 and 74,911.84

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Solution

The fourth proportional to 252,404.32, 378,604.56 and 74,911.84 is: 112,367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,404.32 : 378,604.56 = 74,911.84 : x
  2. Step 2: Convert to fraction form
    252,404.32/378,604.56 = 74,911.84/x
  3. Step 3: Cross multiply
    252,404.32x = 378,604.56 × 74,911.84
  4. Step 4: Simplify right side
    252,404.32x = 28,361,964,221.99
  5. Step 5: Solve for x
    x = 28,361,964,221.99/252,404.32
  6. Step 6: Final answer
    x = 112,367.19

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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.