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Finding the Fourth Proportional to 543,405.60, 815,722.80 and 419,296.80

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Solution

The fourth proportional to 543,405.60, 815,722.80 and 419,296.80 is: 629,419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,405.60 : 815,722.80 = 419,296.80 : x
  2. Step 2: Convert to fraction form
    543,405.60/815,722.80 = 419,296.80/x
  3. Step 3: Cross multiply
    543,405.60x = 815,722.80 × 419,296.80
  4. Step 4: Simplify right side
    543,405.60x = 342,029,959,727.04
  5. Step 5: Solve for x
    x = 342,029,959,727.04/543,405.60
  6. Step 6: Final answer
    x = 629,419.28

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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.