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Finding the Fourth Proportional to 419,960.20, 629,940.30 and 412,961.80

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Solution

The fourth proportional to 419,960.20, 629,940.30 and 412,961.80 is: 619,442.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,960.20 : 629,940.30 = 412,961.80 : x
  2. Step 2: Convert to fraction form
    419,960.20/629,940.30 = 412,961.80/x
  3. Step 3: Cross multiply
    419,960.20x = 629,940.30 × 412,961.80
  4. Step 4: Simplify right side
    419,960.20x = 260,141,280,180.54
  5. Step 5: Solve for x
    x = 260,141,280,180.54/419,960.20
  6. Step 6: Final answer
    x = 619,442.70

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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.