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Finding the Fourth Proportional to 206,581.70, 309,872.55 and 204,613.40

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Solution

The fourth proportional to 206,581.70, 309,872.55 and 204,613.40 is: 306,920.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,581.70 : 309,872.55 = 204,613.40 : x
  2. Step 2: Convert to fraction form
    206,581.70/309,872.55 = 204,613.40/x
  3. Step 3: Cross multiply
    206,581.70x = 309,872.55 × 204,613.40
  4. Step 4: Simplify right side
    206,581.70x = 63,404,076,022.17
  5. Step 5: Solve for x
    x = 63,404,076,022.17/206,581.70
  6. Step 6: Final answer
    x = 306,920.10

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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.