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Finding the Fourth Proportional to 206,873.40, 310,310.10 and 205,561.20

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Solution

The fourth proportional to 206,873.40, 310,310.10 and 205,561.20 is: 308,341.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,873.40 : 310,310.10 = 205,561.20 : x
  2. Step 2: Convert to fraction form
    206,873.40/310,310.10 = 205,561.20/x
  3. Step 3: Cross multiply
    206,873.40x = 310,310.10 × 205,561.20
  4. Step 4: Simplify right side
    206,873.40x = 63,787,716,528.12
  5. Step 5: Solve for x
    x = 63,787,716,528.12/206,873.40
  6. Step 6: Final answer
    x = 308,341.80

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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.