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Finding the Fourth Proportional to 331,731.88, 457,790 and 180,828.88

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Solution

The fourth proportional to 331,731.88, 457,790 and 180,828.88 is: 249,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,731.88 : 457,790 = 180,828.88 : x
  2. Step 2: Convert to fraction form
    331,731.88/457,790 = 180,828.88/x
  3. Step 3: Cross multiply
    331,731.88x = 457,790 × 180,828.88
  4. Step 4: Simplify right side
    331,731.88x = 82,781,652,975.20
  5. Step 5: Solve for x
    x = 82,781,652,975.20/331,731.88
  6. Step 6: Final answer
    x = 249,543.86

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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.