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Finding the Fourth Proportional to 539,761.20, 809,123.40 and 419,751.60

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Solution

The fourth proportional to 539,761.20, 809,123.40 and 419,751.60 is: 629,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,761.20 : 809,123.40 = 419,751.60 : x
  2. Step 2: Convert to fraction form
    539,761.20/809,123.40 = 419,751.60/x
  3. Step 3: Cross multiply
    539,761.20x = 809,123.40 × 419,751.60
  4. Step 4: Simplify right side
    539,761.20x = 339,630,841,747.44
  5. Step 5: Solve for x
    x = 339,630,841,747.44/539,761.20
  6. Step 6: Final answer
    x = 629,224.26

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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.