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Finding the Fourth Proportional to 206,591.10, 309,959.55 and 199,301.10

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Solution

The fourth proportional to 206,591.10, 309,959.55 and 199,301.10 is: 299,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,591.10 : 309,959.55 = 199,301.10 : x
  2. Step 2: Convert to fraction form
    206,591.10/309,959.55 = 199,301.10/x
  3. Step 3: Cross multiply
    206,591.10x = 309,959.55 × 199,301.10
  4. Step 4: Simplify right side
    206,591.10x = 61,775,279,270.51
  5. Step 5: Solve for x
    x = 61,775,279,270.51/206,591.10
  6. Step 6: Final answer
    x = 299,021.98

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1.5x scale

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.