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Finding the Fourth Proportional to 204,379.82, 308,489.34 and 204,379.82

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Solution

The fourth proportional to 204,379.82, 308,489.34 and 204,379.82 is: 308,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,379.82 : 308,489.34 = 204,379.82 : x
  2. Step 2: Convert to fraction form
    204,379.82/308,489.34 = 204,379.82/x
  3. Step 3: Cross multiply
    204,379.82x = 308,489.34 × 204,379.82
  4. Step 4: Simplify right side
    204,379.82x = 63,048,995,781.12
  5. Step 5: Solve for x
    x = 63,048,995,781.12/204,379.82
  6. Step 6: Final answer
    x = 308,489.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.