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Finding the Fourth Proportional to 419,727.25, 629,652.84 and 149,834.44

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Solution

The fourth proportional to 419,727.25, 629,652.84 and 149,834.44 is: 224,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,727.25 : 629,652.84 = 149,834.44 : x
  2. Step 2: Convert to fraction form
    419,727.25/629,652.84 = 149,834.44/x
  3. Step 3: Cross multiply
    419,727.25x = 629,652.84 × 149,834.44
  4. Step 4: Simplify right side
    419,727.25x = 94,343,676,778.37
  5. Step 5: Solve for x
    x = 94,343,676,778.37/419,727.25
  6. Step 6: Final answer
    x = 224,773.77

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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.