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Finding the Fourth Proportional to 386,969.39, 533,978.78 and 225,917.86

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Solution

The fourth proportional to 386,969.39, 533,978.78 and 225,917.86 is: 311,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,969.39 : 533,978.78 = 225,917.86 : x
  2. Step 2: Convert to fraction form
    386,969.39/533,978.78 = 225,917.86/x
  3. Step 3: Cross multiply
    386,969.39x = 533,978.78 × 225,917.86
  4. Step 4: Simplify right side
    386,969.39x = 120,635,340,593.12
  5. Step 5: Solve for x
    x = 120,635,340,593.12/386,969.39
  6. Step 6: Final answer
    x = 311,743.88

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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.