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Finding the Fourth Proportional to 397,472.97, 548,512.31 and 227,707.77

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Solution

The fourth proportional to 397,472.97, 548,512.31 and 227,707.77 is: 314,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,472.97 : 548,512.31 = 227,707.77 : x
  2. Step 2: Convert to fraction form
    397,472.97/548,512.31 = 227,707.77/x
  3. Step 3: Cross multiply
    397,472.97x = 548,512.31 × 227,707.77
  4. Step 4: Simplify right side
    397,472.97x = 124,900,513,789.11
  5. Step 5: Solve for x
    x = 124,900,513,789.11/397,472.97
  6. Step 6: Final answer
    x = 314,236.50

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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.