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Finding the Fourth Proportional to 656,134.80, 984,202.20 and 419,744.40

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Solution

The fourth proportional to 656,134.80, 984,202.20 and 419,744.40 is: 629,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,134.80 : 984,202.20 = 419,744.40 : x
  2. Step 2: Convert to fraction form
    656,134.80/984,202.20 = 419,744.40/x
  3. Step 3: Cross multiply
    656,134.80x = 984,202.20 × 419,744.40
  4. Step 4: Simplify right side
    656,134.80x = 413,113,361,917.68
  5. Step 5: Solve for x
    x = 413,113,361,917.68/656,134.80
  6. Step 6: Final answer
    x = 629,616.60

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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.