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Finding the Fourth Proportional to 363,861.78, 545,891.19 and 206,200.95

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Solution

The fourth proportional to 363,861.78, 545,891.19 and 206,200.95 is: 309,357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,861.78 : 545,891.19 = 206,200.95 : x
  2. Step 2: Convert to fraction form
    363,861.78/545,891.19 = 206,200.95/x
  3. Step 3: Cross multiply
    363,861.78x = 545,891.19 × 206,200.95
  4. Step 4: Simplify right side
    363,861.78x = 112,563,281,974.63
  5. Step 5: Solve for x
    x = 112,563,281,974.63/363,861.78
  6. Step 6: Final answer
    x = 309,357.26

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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.