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Finding the Fourth Proportional to 419,771.75, 629,657.46 and 104,228.66

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Solution

The fourth proportional to 419,771.75, 629,657.46 and 104,228.66 is: 156,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,771.75 : 629,657.46 = 104,228.66 : x
  2. Step 2: Convert to fraction form
    419,771.75/629,657.46 = 104,228.66/x
  3. Step 3: Cross multiply
    419,771.75x = 629,657.46 × 104,228.66
  4. Step 4: Simplify right side
    419,771.75x = 65,628,354,150.06
  5. Step 5: Solve for x
    x = 65,628,354,150.06/419,771.75
  6. Step 6: Final answer
    x = 156,342.95

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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.