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Finding the Fourth Proportional to 206,964.90, 310,204.35 and 204,748.74

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Solution

The fourth proportional to 206,964.90, 310,204.35 and 204,748.74 is: 306,882.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,964.90 : 310,204.35 = 204,748.74 : x
  2. Step 2: Convert to fraction form
    206,964.90/310,204.35 = 204,748.74/x
  3. Step 3: Cross multiply
    206,964.90x = 310,204.35 × 204,748.74
  4. Step 4: Simplify right side
    206,964.90x = 63,513,949,805.02
  5. Step 5: Solve for x
    x = 63,513,949,805.02/206,964.90
  6. Step 6: Final answer
    x = 306,882.71

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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.