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Finding the Fourth Proportional to 419,659.92, 629,675.78 and 219,932.82

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Solution

The fourth proportional to 419,659.92, 629,675.78 and 219,932.82 is: 329,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,659.92 : 629,675.78 = 219,932.82 : x
  2. Step 2: Convert to fraction form
    419,659.92/629,675.78 = 219,932.82/x
  3. Step 3: Cross multiply
    419,659.92x = 629,675.78 × 219,932.82
  4. Step 4: Simplify right side
    419,659.92x = 138,486,368,881.44
  5. Step 5: Solve for x
    x = 138,486,368,881.44/419,659.92
  6. Step 6: Final answer
    x = 329,996.65

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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.