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Finding the Fourth Proportional to 419,716.92, 629,242.74 and 219,999

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Solution

The fourth proportional to 419,716.92, 629,242.74 and 219,999 is: 329,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,716.92 : 629,242.74 = 219,999 : x
  2. Step 2: Convert to fraction form
    419,716.92/629,242.74 = 219,999/x
  3. Step 3: Cross multiply
    419,716.92x = 629,242.74 × 219,999
  4. Step 4: Simplify right side
    419,716.92x = 138,432,773,557.26
  5. Step 5: Solve for x
    x = 138,432,773,557.26/419,716.92
  6. Step 6: Final answer
    x = 329,824.14

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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.