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Finding the Fourth Proportional to 419,832.91, 629,847.78 and 167,128.84

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Solution

The fourth proportional to 419,832.91, 629,847.78 and 167,128.84 is: 250,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,832.91 : 629,847.78 = 167,128.84 : x
  2. Step 2: Convert to fraction form
    419,832.91/629,847.78 = 167,128.84/x
  3. Step 3: Cross multiply
    419,832.91x = 629,847.78 × 167,128.84
  4. Step 4: Simplify right side
    419,832.91x = 105,265,728,847.98
  5. Step 5: Solve for x
    x = 105,265,728,847.98/419,832.91
  6. Step 6: Final answer
    x = 250,732.44

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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.