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Finding the Fourth Proportional to 397,711.17, 548,840.66 and 225,662.91

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Solution

The fourth proportional to 397,711.17, 548,840.66 and 225,662.91 is: 311,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,711.17 : 548,840.66 = 225,662.91 : x
  2. Step 2: Convert to fraction form
    397,711.17/548,840.66 = 225,662.91/x
  3. Step 3: Cross multiply
    397,711.17x = 548,840.66 × 225,662.91
  4. Step 4: Simplify right side
    397,711.17x = 123,852,979,333.61
  5. Step 5: Solve for x
    x = 123,852,979,333.61/397,711.17
  6. Step 6: Final answer
    x = 311,414.38

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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.