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Finding the Fourth Proportional to 442,815.80, 664,223.70 and 419,487.80

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Solution

The fourth proportional to 442,815.80, 664,223.70 and 419,487.80 is: 629,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,815.80 : 664,223.70 = 419,487.80 : x
  2. Step 2: Convert to fraction form
    442,815.80/664,223.70 = 419,487.80/x
  3. Step 3: Cross multiply
    442,815.80x = 664,223.70 × 419,487.80
  4. Step 4: Simplify right side
    442,815.80x = 278,633,738,620.86
  5. Step 5: Solve for x
    x = 278,633,738,620.86/442,815.80
  6. Step 6: Final answer
    x = 629,231.70

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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.