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Finding the Fourth Proportional to 419,628.47, 629,505.24 and 149,735.57

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Solution

The fourth proportional to 419,628.47, 629,505.24 and 149,735.57 is: 224,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,628.47 : 629,505.24 = 149,735.57 : x
  2. Step 2: Convert to fraction form
    419,628.47/629,505.24 = 149,735.57/x
  3. Step 3: Cross multiply
    419,628.47x = 629,505.24 × 149,735.57
  4. Step 4: Simplify right side
    419,628.47x = 94,259,322,781.86
  5. Step 5: Solve for x
    x = 94,259,322,781.86/419,628.47
  6. Step 6: Final answer
    x = 224,625.66

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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.