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Finding the Fourth Proportional to 543,431.60, 815,761.80 and 419,322.80

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Solution

The fourth proportional to 543,431.60, 815,761.80 and 419,322.80 is: 629,458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,431.60 : 815,761.80 = 419,322.80 : x
  2. Step 2: Convert to fraction form
    543,431.60/815,761.80 = 419,322.80/x
  3. Step 3: Cross multiply
    543,431.60x = 815,761.80 × 419,322.80
  4. Step 4: Simplify right side
    543,431.60x = 342,067,522,109.04
  5. Step 5: Solve for x
    x = 342,067,522,109.04/543,431.60
  6. Step 6: Final answer
    x = 629,458.28

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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.