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Finding the Fourth Proportional to 419,958.20, 629,937.30 and 412,959.80

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Solution

The fourth proportional to 419,958.20, 629,937.30 and 412,959.80 is: 619,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,958.20 : 629,937.30 = 412,959.80 : x
  2. Step 2: Convert to fraction form
    419,958.20/629,937.30 = 412,959.80/x
  3. Step 3: Cross multiply
    419,958.20x = 629,937.30 × 412,959.80
  4. Step 4: Simplify right side
    419,958.20x = 260,138,781,420.54
  5. Step 5: Solve for x
    x = 260,138,781,420.54/419,958.20
  6. Step 6: Final answer
    x = 619,439.70

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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.