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Finding the Fourth Proportional to 358,691.88, 494,951.76 and 205,722.14

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Solution

The fourth proportional to 358,691.88, 494,951.76 and 205,722.14 is: 283,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,691.88 : 494,951.76 = 205,722.14 : x
  2. Step 2: Convert to fraction form
    358,691.88/494,951.76 = 205,722.14/x
  3. Step 3: Cross multiply
    358,691.88x = 494,951.76 × 205,722.14
  4. Step 4: Simplify right side
    358,691.88x = 101,822,535,263.97
  5. Step 5: Solve for x
    x = 101,822,535,263.97/358,691.88
  6. Step 6: Final answer
    x = 283,871.87

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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.