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Finding the Fourth Proportional to 305,875.31, 422,261.30 and 191,217.68

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Solution

The fourth proportional to 305,875.31, 422,261.30 and 191,217.68 is: 263,976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,875.31 : 422,261.30 = 191,217.68 : x
  2. Step 2: Convert to fraction form
    305,875.31/422,261.30 = 191,217.68/x
  3. Step 3: Cross multiply
    305,875.31x = 422,261.30 × 191,217.68
  4. Step 4: Simplify right side
    305,875.31x = 80,743,823,072.39
  5. Step 5: Solve for x
    x = 80,743,823,072.39/305,875.31
  6. Step 6: Final answer
    x = 263,976.27

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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.