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Finding the Fourth Proportional to 419,643.59, 629,651.44 and 219,916.49

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Solution

The fourth proportional to 419,643.59, 629,651.44 and 219,916.49 is: 329,972.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,643.59 : 629,651.44 = 219,916.49 : x
  2. Step 2: Convert to fraction form
    419,643.59/629,651.44 = 219,916.49/x
  3. Step 3: Cross multiply
    419,643.59x = 629,651.44 × 219,916.49
  4. Step 4: Simplify right side
    419,643.59x = 138,470,731,734.88
  5. Step 5: Solve for x
    x = 138,470,731,734.88/419,643.59
  6. Step 6: Final answer
    x = 329,972.24

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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.