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Finding the Fourth Proportional to 419,725.75, 629,650.58 and 149,832.94

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Solution

The fourth proportional to 419,725.75, 629,650.58 and 149,832.94 is: 224,771.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,725.75 : 629,650.58 = 149,832.94 : x
  2. Step 2: Convert to fraction form
    419,725.75/629,650.58 = 149,832.94/x
  3. Step 3: Cross multiply
    419,725.75x = 629,650.58 × 149,832.94
  4. Step 4: Simplify right side
    419,725.75x = 94,342,394,800.43
  5. Step 5: Solve for x
    x = 94,342,394,800.43/419,725.75
  6. Step 6: Final answer
    x = 224,771.52

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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.