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Finding the Fourth Proportional to 419,791.20, 629,629.20 and 139,279.20

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Solution

The fourth proportional to 419,791.20, 629,629.20 and 139,279.20 is: 208,899.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,791.20 : 629,629.20 = 139,279.20 : x
  2. Step 2: Convert to fraction form
    419,791.20/629,629.20 = 139,279.20/x
  3. Step 3: Cross multiply
    419,791.20x = 629,629.20 × 139,279.20
  4. Step 4: Simplify right side
    419,791.20x = 87,694,251,272.64
  5. Step 5: Solve for x
    x = 87,694,251,272.64/419,791.20
  6. Step 6: Final answer
    x = 208,899.69

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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.