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Finding the Fourth Proportional to 331,680, 457,718.40 and 180,777.36

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Solution

The fourth proportional to 331,680, 457,718.40 and 180,777.36 is: 249,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,680 : 457,718.40 = 180,777.36 : x
  2. Step 2: Convert to fraction form
    331,680/457,718.40 = 180,777.36/x
  3. Step 3: Cross multiply
    331,680x = 457,718.40 × 180,777.36
  4. Step 4: Simplify right side
    331,680x = 82,745,123,975.42
  5. Step 5: Solve for x
    x = 82,745,123,975.42/331,680
  6. Step 6: Final answer
    x = 249,472.76

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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.