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Finding the Fourth Proportional to 543,395.60, 815,707.80 and 419,286.80

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Solution

The fourth proportional to 543,395.60, 815,707.80 and 419,286.80 is: 629,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,395.60 : 815,707.80 = 419,286.80 : x
  2. Step 2: Convert to fraction form
    543,395.60/815,707.80 = 419,286.80/x
  3. Step 3: Cross multiply
    543,395.60x = 815,707.80 × 419,286.80
  4. Step 4: Simplify right side
    543,395.60x = 342,015,513,197.04
  5. Step 5: Solve for x
    x = 342,015,513,197.04/543,395.60
  6. Step 6: Final answer
    x = 629,404.27

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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.