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Finding the Fourth Proportional to 206,168.74, 308,630.58 and 186,456.58

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Solution

The fourth proportional to 206,168.74, 308,630.58 and 186,456.58 is: 279,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,168.74 : 308,630.58 = 186,456.58 : x
  2. Step 2: Convert to fraction form
    206,168.74/308,630.58 = 186,456.58/x
  3. Step 3: Cross multiply
    206,168.74x = 308,630.58 × 186,456.58
  4. Step 4: Simplify right side
    206,168.74x = 57,546,202,430.22
  5. Step 5: Solve for x
    x = 57,546,202,430.22/206,168.74
  6. Step 6: Final answer
    x = 279,121.86

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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.