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Finding the Fourth Proportional to 205,982.62, 308,610.54 and 180,396.64

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Solution

The fourth proportional to 205,982.62, 308,610.54 and 180,396.64 is: 270,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,982.62 : 308,610.54 = 180,396.64 : x
  2. Step 2: Convert to fraction form
    205,982.62/308,610.54 = 180,396.64/x
  3. Step 3: Cross multiply
    205,982.62x = 308,610.54 × 180,396.64
  4. Step 4: Simplify right side
    205,982.62x = 55,672,304,484.59
  5. Step 5: Solve for x
    x = 55,672,304,484.59/205,982.62
  6. Step 6: Final answer
    x = 270,276.71

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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.