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Finding the Fourth Proportional to 218,912.30, 329,059.65 and 206,470.70

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Solution

The fourth proportional to 218,912.30, 329,059.65 and 206,470.70 is: 310,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,912.30 : 329,059.65 = 206,470.70 : x
  2. Step 2: Convert to fraction form
    218,912.30/329,059.65 = 206,470.70/x
  3. Step 3: Cross multiply
    218,912.30x = 329,059.65 × 206,470.70
  4. Step 4: Simplify right side
    218,912.30x = 67,941,176,277.26
  5. Step 5: Solve for x
    x = 67,941,176,277.26/218,912.30
  6. Step 6: Final answer
    x = 310,357.97

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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.