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Finding the Fourth Proportional to 419,649.58, 629,660.44 and 219,922.48

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Solution

The fourth proportional to 419,649.58, 629,660.44 and 219,922.48 is: 329,981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,649.58 : 629,660.44 = 219,922.48 : x
  2. Step 2: Convert to fraction form
    419,649.58/629,660.44 = 219,922.48/x
  3. Step 3: Cross multiply
    419,649.58x = 629,660.44 × 219,922.48
  4. Step 4: Simplify right side
    419,649.58x = 138,476,485,522.69
  5. Step 5: Solve for x
    x = 138,476,485,522.69/419,649.58
  6. Step 6: Final answer
    x = 329,981.23

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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.