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Finding the Fourth Proportional to 539,734.20, 809,082.90 and 419,724.60

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Solution

The fourth proportional to 539,734.20, 809,082.90 and 419,724.60 is: 629,183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,734.20 : 809,082.90 = 419,724.60 : x
  2. Step 2: Convert to fraction form
    539,734.20/809,082.90 = 419,724.60/x
  3. Step 3: Cross multiply
    539,734.20x = 809,082.90 × 419,724.60
  4. Step 4: Simplify right side
    539,734.20x = 339,591,996,569.34
  5. Step 5: Solve for x
    x = 339,591,996,569.34/539,734.20
  6. Step 6: Final answer
    x = 629,183.77

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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.