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Finding the Fourth Proportional to 378,760.32, 522,456.48 and 225,693

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Solution

The fourth proportional to 378,760.32, 522,456.48 and 225,693 is: 311,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,760.32 : 522,456.48 = 225,693 : x
  2. Step 2: Convert to fraction form
    378,760.32/522,456.48 = 225,693/x
  3. Step 3: Cross multiply
    378,760.32x = 522,456.48 × 225,693
  4. Step 4: Simplify right side
    378,760.32x = 117,914,770,340.64
  5. Step 5: Solve for x
    x = 117,914,770,340.64/378,760.32
  6. Step 6: Final answer
    x = 311,317.64

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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.