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Finding the Fourth Proportional to 206,884.40, 310,326.60 and 205,572.20

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Solution

The fourth proportional to 206,884.40, 310,326.60 and 205,572.20 is: 308,358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,884.40 : 310,326.60 = 205,572.20 : x
  2. Step 2: Convert to fraction form
    206,884.40/310,326.60 = 205,572.20/x
  3. Step 3: Cross multiply
    206,884.40x = 310,326.60 × 205,572.20
  4. Step 4: Simplify right side
    206,884.40x = 63,794,521,880.52
  5. Step 5: Solve for x
    x = 63,794,521,880.52/206,884.40
  6. Step 6: Final answer
    x = 308,358.30

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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.