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Finding the Fourth Proportional to 419,744.31, 629,801.96 and 220,016.94

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Solution

The fourth proportional to 419,744.31, 629,801.96 and 220,016.94 is: 330,122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,744.31 : 629,801.96 = 220,016.94 : x
  2. Step 2: Convert to fraction form
    419,744.31/629,801.96 = 220,016.94/x
  3. Step 3: Cross multiply
    419,744.31x = 629,801.96 × 220,016.94
  4. Step 4: Simplify right side
    419,744.31x = 138,567,098,945.12
  5. Step 5: Solve for x
    x = 138,567,098,945.12/419,744.31
  6. Step 6: Final answer
    x = 330,122.64

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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.