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Finding the Fourth Proportional to 278,811.40, 418,217.10 and 200,662.60

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Solution

The fourth proportional to 278,811.40, 418,217.10 and 200,662.60 is: 300,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,811.40 : 418,217.10 = 200,662.60 : x
  2. Step 2: Convert to fraction form
    278,811.40/418,217.10 = 200,662.60/x
  3. Step 3: Cross multiply
    278,811.40x = 418,217.10 × 200,662.60
  4. Step 4: Simplify right side
    278,811.40x = 83,920,530,650.46
  5. Step 5: Solve for x
    x = 83,920,530,650.46/278,811.40
  6. Step 6: Final answer
    x = 300,993.90

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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.