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Finding the Fourth Proportional to 206,677.40, 310,016.10 and 203,912.60

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Solution

The fourth proportional to 206,677.40, 310,016.10 and 203,912.60 is: 305,868.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,677.40 : 310,016.10 = 203,912.60 : x
  2. Step 2: Convert to fraction form
    206,677.40/310,016.10 = 203,912.60/x
  3. Step 3: Cross multiply
    206,677.40x = 310,016.10 × 203,912.60
  4. Step 4: Simplify right side
    206,677.40x = 63,216,188,992.86
  5. Step 5: Solve for x
    x = 63,216,188,992.86/206,677.40
  6. Step 6: Final answer
    x = 305,868.90

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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.