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Finding the Fourth Proportional to 321,243.44, 442,912.92 and 206,319.20

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Solution

The fourth proportional to 321,243.44, 442,912.92 and 206,319.20 is: 284,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,243.44 : 442,912.92 = 206,319.20 : x
  2. Step 2: Convert to fraction form
    321,243.44/442,912.92 = 206,319.20/x
  3. Step 3: Cross multiply
    321,243.44x = 442,912.92 × 206,319.20
  4. Step 4: Simplify right side
    321,243.44x = 91,381,439,324.06
  5. Step 5: Solve for x
    x = 91,381,439,324.06/321,243.44
  6. Step 6: Final answer
    x = 284,461.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.