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Finding the Fourth Proportional to 419,965.70, 629,549.46 and 267,735.47

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Solution

The fourth proportional to 419,965.70, 629,549.46 and 267,735.47 is: 401,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,965.70 : 629,549.46 = 267,735.47 : x
  2. Step 2: Convert to fraction form
    419,965.70/629,549.46 = 267,735.47/x
  3. Step 3: Cross multiply
    419,965.70x = 629,549.46 × 267,735.47
  4. Step 4: Simplify right side
    419,965.70x = 168,552,717,413.60
  5. Step 5: Solve for x
    x = 168,552,717,413.60/419,965.70
  6. Step 6: Final answer
    x = 401,348.78

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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.