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Finding the Fourth Proportional to 539,730.20, 809,076.90 and 419,720.60

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Solution

The fourth proportional to 539,730.20, 809,076.90 and 419,720.60 is: 629,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,730.20 : 809,076.90 = 419,720.60 : x
  2. Step 2: Convert to fraction form
    539,730.20/809,076.90 = 419,720.60/x
  3. Step 3: Cross multiply
    539,730.20x = 809,076.90 × 419,720.60
  4. Step 4: Simplify right side
    539,730.20x = 339,586,241,914.14
  5. Step 5: Solve for x
    x = 339,586,241,914.14/539,730.20
  6. Step 6: Final answer
    x = 629,177.77

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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.