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Finding the Fourth Proportional to 279,708.92, 386,144.16 and 217,481.48

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Solution

The fourth proportional to 279,708.92, 386,144.16 and 217,481.48 is: 300,237.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,708.92 : 386,144.16 = 217,481.48 : x
  2. Step 2: Convert to fraction form
    279,708.92/386,144.16 = 217,481.48/x
  3. Step 3: Cross multiply
    279,708.92x = 386,144.16 × 217,481.48
  4. Step 4: Simplify right side
    279,708.92x = 83,979,203,410.16
  5. Step 5: Solve for x
    x = 83,979,203,410.16/279,708.92
  6. Step 6: Final answer
    x = 300,237.85

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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.