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Finding the Fourth Proportional to 543,402.60, 815,718.30 and 419,293.80

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Solution

The fourth proportional to 543,402.60, 815,718.30 and 419,293.80 is: 629,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,402.60 : 815,718.30 = 419,293.80 : x
  2. Step 2: Convert to fraction form
    543,402.60/815,718.30 = 419,293.80/x
  3. Step 3: Cross multiply
    543,402.60x = 815,718.30 × 419,293.80
  4. Step 4: Simplify right side
    543,402.60x = 342,025,625,736.54
  5. Step 5: Solve for x
    x = 342,025,625,736.54/543,402.60
  6. Step 6: Final answer
    x = 629,414.78

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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.