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Finding the Fourth Proportional to 419,719.55, 629,765.22 and 219,992.45

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Solution

The fourth proportional to 419,719.55, 629,765.22 and 219,992.45 is: 330,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,719.55 : 629,765.22 = 219,992.45 : x
  2. Step 2: Convert to fraction form
    419,719.55/629,765.22 = 219,992.45/x
  3. Step 3: Cross multiply
    419,719.55x = 629,765.22 × 219,992.45
  4. Step 4: Simplify right side
    419,719.55x = 138,543,593,672.59
  5. Step 5: Solve for x
    x = 138,543,593,672.59/419,719.55
  6. Step 6: Final answer
    x = 330,086.11

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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.