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Finding the Fourth Proportional to 419,982.44, 629,351.34 and 345,630.92

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Solution

The fourth proportional to 419,982.44, 629,351.34 and 345,630.92 is: 517,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,982.44 : 629,351.34 = 345,630.92 : x
  2. Step 2: Convert to fraction form
    419,982.44/629,351.34 = 345,630.92/x
  3. Step 3: Cross multiply
    419,982.44x = 629,351.34 × 345,630.92
  4. Step 4: Simplify right side
    419,982.44x = 217,523,282,647.43
  5. Step 5: Solve for x
    x = 217,523,282,647.43/419,982.44
  6. Step 6: Final answer
    x = 517,934.23

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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.