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Finding the Fourth Proportional to 252,505.92, 378,398 and 185,419.76

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Solution

The fourth proportional to 252,505.92, 378,398 and 185,419.76 is: 277,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,505.92 : 378,398 = 185,419.76 : x
  2. Step 2: Convert to fraction form
    252,505.92/378,398 = 185,419.76/x
  3. Step 3: Cross multiply
    252,505.92x = 378,398 × 185,419.76
  4. Step 4: Simplify right side
    252,505.92x = 70,162,466,344.48
  5. Step 5: Solve for x
    x = 70,162,466,344.48/252,505.92
  6. Step 6: Final answer
    x = 277,864.64

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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.