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Finding the Fourth Proportional to 419,936.50, 629,968.20 and 135,532

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Solution

The fourth proportional to 419,936.50, 629,968.20 and 135,532 is: 203,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,936.50 : 629,968.20 = 135,532 : x
  2. Step 2: Convert to fraction form
    419,936.50/629,968.20 = 135,532/x
  3. Step 3: Cross multiply
    419,936.50x = 629,968.20 × 135,532
  4. Step 4: Simplify right side
    419,936.50x = 85,380,850,082.40
  5. Step 5: Solve for x
    x = 85,380,850,082.40/419,936.50
  6. Step 6: Final answer
    x = 203,318.48

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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.