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Finding the Fourth Proportional to 363,855.78, 545,882.18 and 206,194.95

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Solution

The fourth proportional to 363,855.78, 545,882.18 and 206,194.95 is: 309,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,855.78 : 545,882.18 = 206,194.95 : x
  2. Step 2: Convert to fraction form
    363,855.78/545,882.18 = 206,194.95/x
  3. Step 3: Cross multiply
    363,855.78x = 545,882.18 × 206,194.95
  4. Step 4: Simplify right side
    363,855.78x = 112,558,147,780.02
  5. Step 5: Solve for x
    x = 112,558,147,780.02/363,855.78
  6. Step 6: Final answer
    x = 309,348.25

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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.