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Finding the Fourth Proportional to 965,680, 1,332,638.40 and 541,744

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Solution

The fourth proportional to 965,680, 1,332,638.40 and 541,744 is: 747,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,680 : 1,332,638.40 = 541,744 : x
  2. Step 2: Convert to fraction form
    965,680/1,332,638.40 = 541,744/x
  3. Step 3: Cross multiply
    965,680x = 1,332,638.40 × 541,744
  4. Step 4: Simplify right side
    965,680x = 721,948,857,369.60
  5. Step 5: Solve for x
    x = 721,948,857,369.60/965,680
  6. Step 6: Final answer
    x = 747,606.72

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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.