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Finding the Fourth Proportional to 278,800.65, 418,200.98 and 200,651.85

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Solution

The fourth proportional to 278,800.65, 418,200.98 and 200,651.85 is: 300,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,800.65 : 418,200.98 = 200,651.85 : x
  2. Step 2: Convert to fraction form
    278,800.65/418,200.98 = 200,651.85/x
  3. Step 3: Cross multiply
    278,800.65x = 418,200.98 × 200,651.85
  4. Step 4: Simplify right side
    278,800.65x = 83,912,799,305.55
  5. Step 5: Solve for x
    x = 83,912,799,305.55/278,800.65
  6. Step 6: Final answer
    x = 300,977.78

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1.5x scale

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.