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Finding the Fourth Proportional to 485,625.80, 728,049.90 and 204,912.20

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Solution

The fourth proportional to 485,625.80, 728,049.90 and 204,912.20 is: 307,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,625.80 : 728,049.90 = 204,912.20 : x
  2. Step 2: Convert to fraction form
    485,625.80/728,049.90 = 204,912.20/x
  3. Step 3: Cross multiply
    485,625.80x = 728,049.90 × 204,912.20
  4. Step 4: Simplify right side
    485,625.80x = 149,186,306,718.78
  5. Step 5: Solve for x
    x = 149,186,306,718.78/485,625.80
  6. Step 6: Final answer
    x = 307,204.24

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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.