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Finding the Fourth Proportional to 206,892.40, 310,338.60 and 205,580.20

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Solution

The fourth proportional to 206,892.40, 310,338.60 and 205,580.20 is: 308,370.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,892.40 : 310,338.60 = 205,580.20 : x
  2. Step 2: Convert to fraction form
    206,892.40/310,338.60 = 205,580.20/x
  3. Step 3: Cross multiply
    206,892.40x = 310,338.60 × 205,580.20
  4. Step 4: Simplify right side
    206,892.40x = 63,799,471,455.72
  5. Step 5: Solve for x
    x = 63,799,471,455.72/206,892.40
  6. Step 6: Final answer
    x = 308,370.30

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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.