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Finding the Fourth Proportional to 419,801.22, 629,745.57 and 179,939.16

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Solution

The fourth proportional to 419,801.22, 629,745.57 and 179,939.16 is: 269,927.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,801.22 : 629,745.57 = 179,939.16 : x
  2. Step 2: Convert to fraction form
    419,801.22/629,745.57 = 179,939.16/x
  3. Step 3: Cross multiply
    419,801.22x = 629,745.57 × 179,939.16
  4. Step 4: Simplify right side
    419,801.22x = 113,315,888,879.52
  5. Step 5: Solve for x
    x = 113,315,888,879.52/419,801.22
  6. Step 6: Final answer
    x = 269,927.49

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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.