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Finding the Fourth Proportional to 361,951.80, 499,517.14 and 208,996.44

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Solution

The fourth proportional to 361,951.80, 499,517.14 and 208,996.44 is: 288,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,951.80 : 499,517.14 = 208,996.44 : x
  2. Step 2: Convert to fraction form
    361,951.80/499,517.14 = 208,996.44/x
  3. Step 3: Cross multiply
    361,951.80x = 499,517.14 × 208,996.44
  4. Step 4: Simplify right side
    361,951.80x = 104,397,303,978.98
  5. Step 5: Solve for x
    x = 104,397,303,978.98/361,951.80
  6. Step 6: Final answer
    x = 288,428.75

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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.