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Finding the Fourth Proportional to 419,871.90, 629,788.72 and 135,575.58

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Solution

The fourth proportional to 419,871.90, 629,788.72 and 135,575.58 is: 203,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,871.90 : 629,788.72 = 135,575.58 : x
  2. Step 2: Convert to fraction form
    419,871.90/629,788.72 = 135,575.58/x
  3. Step 3: Cross multiply
    419,871.90x = 629,788.72 × 135,575.58
  4. Step 4: Simplify right side
    419,871.90x = 85,383,970,991.46
  5. Step 5: Solve for x
    x = 85,383,970,991.46/419,871.90
  6. Step 6: Final answer
    x = 203,357.19

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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.