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Finding the Fourth Proportional to 419,705.82, 629,648.69 and 135,412.56

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Solution

The fourth proportional to 419,705.82, 629,648.69 and 135,412.56 is: 203,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,705.82 : 629,648.69 = 135,412.56 : x
  2. Step 2: Convert to fraction form
    419,705.82/629,648.69 = 135,412.56/x
  3. Step 3: Cross multiply
    419,705.82x = 629,648.69 × 135,412.56
  4. Step 4: Simplify right side
    419,705.82x = 85,262,340,336.48
  5. Step 5: Solve for x
    x = 85,262,340,336.48/419,705.82
  6. Step 6: Final answer
    x = 203,147.86

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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.