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Finding the Fourth Proportional to 311,145.30, 465,551.55 and 206,169.30

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Solution

The fourth proportional to 311,145.30, 465,551.55 and 206,169.30 is: 308,481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,145.30 : 465,551.55 = 206,169.30 : x
  2. Step 2: Convert to fraction form
    311,145.30/465,551.55 = 206,169.30/x
  3. Step 3: Cross multiply
    311,145.30x = 465,551.55 × 206,169.30
  4. Step 4: Simplify right side
    311,145.30x = 95,982,437,177.42
  5. Step 5: Solve for x
    x = 95,982,437,177.42/311,145.30
  6. Step 6: Final answer
    x = 308,481.08

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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.