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Finding the Fourth Proportional to 306,379.82, 422,507.30 and 204,409.44

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Solution

The fourth proportional to 306,379.82, 422,507.30 and 204,409.44 is: 281,886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,379.82 : 422,507.30 = 204,409.44 : x
  2. Step 2: Convert to fraction form
    306,379.82/422,507.30 = 204,409.44/x
  3. Step 3: Cross multiply
    306,379.82x = 422,507.30 × 204,409.44
  4. Step 4: Simplify right side
    306,379.82x = 86,364,479,566.86
  5. Step 5: Solve for x
    x = 86,364,479,566.86/306,379.82
  6. Step 6: Final answer
    x = 281,886.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.