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Finding the Fourth Proportional to 539,741.20, 809,093.40 and 419,731.60

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Solution

The fourth proportional to 539,741.20, 809,093.40 and 419,731.60 is: 629,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,741.20 : 809,093.40 = 419,731.60 : x
  2. Step 2: Convert to fraction form
    539,741.20/809,093.40 = 419,731.60/x
  3. Step 3: Cross multiply
    539,741.20x = 809,093.40 × 419,731.60
  4. Step 4: Simplify right side
    539,741.20x = 339,602,067,331.44
  5. Step 5: Solve for x
    x = 339,602,067,331.44/539,741.20
  6. Step 6: Final answer
    x = 629,194.26

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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.