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Finding the Fourth Proportional to 361,873.52, 499,375.80 and 208,906.53

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Solution

The fourth proportional to 361,873.52, 499,375.80 and 208,906.53 is: 288,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,873.52 : 499,375.80 = 208,906.53 : x
  2. Step 2: Convert to fraction form
    361,873.52/499,375.80 = 208,906.53/x
  3. Step 3: Cross multiply
    361,873.52x = 499,375.80 × 208,906.53
  4. Step 4: Simplify right side
    361,873.52x = 104,322,865,543.97
  5. Step 5: Solve for x
    x = 104,322,865,543.97/361,873.52
  6. Step 6: Final answer
    x = 288,285.44

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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.