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Finding the Fourth Proportional to 419,729.20, 629,739.60 and 183,241.60

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Solution

The fourth proportional to 419,729.20, 629,739.60 and 183,241.60 is: 274,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,729.20 : 629,739.60 = 183,241.60 : x
  2. Step 2: Convert to fraction form
    419,729.20/629,739.60 = 183,241.60/x
  3. Step 3: Cross multiply
    419,729.20x = 629,739.60 × 183,241.60
  4. Step 4: Simplify right side
    419,729.20x = 115,394,491,887.36
  5. Step 5: Solve for x
    x = 115,394,491,887.36/419,729.20
  6. Step 6: Final answer
    x = 274,926.05

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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.