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Finding the Fourth Proportional to 419,968.71, 629,553.96 and 267,738.48

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Solution

The fourth proportional to 419,968.71, 629,553.96 and 267,738.48 is: 401,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,968.71 : 629,553.96 = 267,738.48 : x
  2. Step 2: Convert to fraction form
    419,968.71/629,553.96 = 267,738.48/x
  3. Step 3: Cross multiply
    419,968.71x = 629,553.96 × 267,738.48
  4. Step 4: Simplify right side
    419,968.71x = 168,555,820,328.38
  5. Step 5: Solve for x
    x = 168,555,820,328.38/419,968.71
  6. Step 6: Final answer
    x = 401,353.28

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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.