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Finding the Fourth Proportional to 274,043.71, 378,241.32 and 166,591

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Solution

The fourth proportional to 274,043.71, 378,241.32 and 166,591 is: 229,932.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,043.71 : 378,241.32 = 166,591 : x
  2. Step 2: Convert to fraction form
    274,043.71/378,241.32 = 166,591/x
  3. Step 3: Cross multiply
    274,043.71x = 378,241.32 × 166,591
  4. Step 4: Simplify right side
    274,043.71x = 63,011,599,740.12
  5. Step 5: Solve for x
    x = 63,011,599,740.12/274,043.71
  6. Step 6: Final answer
    x = 229,932.66

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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.