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Finding the Fourth Proportional to 419,643.53, 629,651.34 and 219,916.43

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Solution

The fourth proportional to 419,643.53, 629,651.34 and 219,916.43 is: 329,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,643.53 : 629,651.34 = 219,916.43 : x
  2. Step 2: Convert to fraction form
    419,643.53/629,651.34 = 219,916.43/x
  3. Step 3: Cross multiply
    419,643.53x = 629,651.34 × 219,916.43
  4. Step 4: Simplify right side
    419,643.53x = 138,470,670,589.68
  5. Step 5: Solve for x
    x = 138,470,670,589.68/419,643.53
  6. Step 6: Final answer
    x = 329,972.14

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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.