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Finding the Fourth Proportional to 419,562.72, 629,540.91 and 209,217.06

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Solution

The fourth proportional to 419,562.72, 629,540.91 and 209,217.06 is: 313,923.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,562.72 : 629,540.91 = 209,217.06 : x
  2. Step 2: Convert to fraction form
    419,562.72/629,540.91 = 209,217.06/x
  3. Step 3: Cross multiply
    419,562.72x = 629,540.91 × 209,217.06
  4. Step 4: Simplify right side
    419,562.72x = 131,710,694,146.14
  5. Step 5: Solve for x
    x = 131,710,694,146.14/419,562.72
  6. Step 6: Final answer
    x = 313,923.73

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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.