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Finding the Fourth Proportional to 329,429.82, 494,691.46 and 205,558.14

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Solution

The fourth proportional to 329,429.82, 494,691.46 and 205,558.14 is: 308,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,429.82 : 494,691.46 = 205,558.14 : x
  2. Step 2: Convert to fraction form
    329,429.82/494,691.46 = 205,558.14/x
  3. Step 3: Cross multiply
    329,429.82x = 494,691.46 × 205,558.14
  4. Step 4: Simplify right side
    329,429.82x = 101,687,856,391.48
  5. Step 5: Solve for x
    x = 101,687,856,391.48/329,429.82
  6. Step 6: Final answer
    x = 308,678.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.