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Finding the Fourth Proportional to 252,479.84, 378,654.24 and 74,945.12

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Solution

The fourth proportional to 252,479.84, 378,654.24 and 74,945.12 is: 112,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,479.84 : 378,654.24 = 74,945.12 : x
  2. Step 2: Convert to fraction form
    252,479.84/378,654.24 = 74,945.12/x
  3. Step 3: Cross multiply
    252,479.84x = 378,654.24 × 74,945.12
  4. Step 4: Simplify right side
    252,479.84x = 28,378,287,455.31
  5. Step 5: Solve for x
    x = 28,378,287,455.31/252,479.84
  6. Step 6: Final answer
    x = 112,398.23

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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.