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Finding the Fourth Proportional to 419,760.84, 629,826.72 and 220,033.44

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Solution

The fourth proportional to 419,760.84, 629,826.72 and 220,033.44 is: 330,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,760.84 : 629,826.72 = 220,033.44 : x
  2. Step 2: Convert to fraction form
    419,760.84/629,826.72 = 220,033.44/x
  3. Step 3: Cross multiply
    419,760.84x = 629,826.72 × 220,033.44
  4. Step 4: Simplify right side
    419,760.84x = 138,582,939,805.52
  5. Step 5: Solve for x
    x = 138,582,939,805.52/419,760.84
  6. Step 6: Final answer
    x = 330,147.38

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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.