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Finding the Fourth Proportional to 539,739.20, 809,090.40 and 419,729.60

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Solution

The fourth proportional to 539,739.20, 809,090.40 and 419,729.60 is: 629,191.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,739.20 : 809,090.40 = 419,729.60 : x
  2. Step 2: Convert to fraction form
    539,739.20/809,090.40 = 419,729.60/x
  3. Step 3: Cross multiply
    539,739.20x = 809,090.40 × 419,729.60
  4. Step 4: Simplify right side
    539,739.20x = 339,599,189,955.84
  5. Step 5: Solve for x
    x = 339,599,189,955.84/539,739.20
  6. Step 6: Final answer
    x = 629,191.26

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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.