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Finding the Fourth Proportional to 419,427.50, 629,241 and 135,144.94

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Solution

The fourth proportional to 419,427.50, 629,241 and 135,144.94 is: 202,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,427.50 : 629,241 = 135,144.94 : x
  2. Step 2: Convert to fraction form
    419,427.50/629,241 = 135,144.94/x
  3. Step 3: Cross multiply
    419,427.50x = 629,241 × 135,144.94
  4. Step 4: Simplify right side
    419,427.50x = 85,038,737,190.54
  5. Step 5: Solve for x
    x = 85,038,737,190.54/419,427.50
  6. Step 6: Final answer
    x = 202,749.55

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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.