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Finding the Fourth Proportional to 306,473.96, 422,992.31 and 191,805.90

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Solution

The fourth proportional to 306,473.96, 422,992.31 and 191,805.90 is: 264,728.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,473.96 : 422,992.31 = 191,805.90 : x
  2. Step 2: Convert to fraction form
    306,473.96/422,992.31 = 191,805.90/x
  3. Step 3: Cross multiply
    306,473.96x = 422,992.31 × 191,805.90
  4. Step 4: Simplify right side
    306,473.96x = 81,132,419,753.60
  5. Step 5: Solve for x
    x = 81,132,419,753.60/306,473.96
  6. Step 6: Final answer
    x = 264,728.60

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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.