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Finding the Fourth Proportional to 543,436.60, 815,769.30 and 419,327.80

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Solution

The fourth proportional to 543,436.60, 815,769.30 and 419,327.80 is: 629,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,436.60 : 815,769.30 = 419,327.80 : x
  2. Step 2: Convert to fraction form
    543,436.60/815,769.30 = 419,327.80/x
  3. Step 3: Cross multiply
    543,436.60x = 815,769.30 × 419,327.80
  4. Step 4: Simplify right side
    543,436.60x = 342,074,745,876.54
  5. Step 5: Solve for x
    x = 342,074,745,876.54/543,436.60
  6. Step 6: Final answer
    x = 629,465.78

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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.