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Finding the Fourth Proportional to 394,241.28, 543,862.71 and 258,215.37

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Solution

The fourth proportional to 394,241.28, 543,862.71 and 258,215.37 is: 356,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,241.28 : 543,862.71 = 258,215.37 : x
  2. Step 2: Convert to fraction form
    394,241.28/543,862.71 = 258,215.37/x
  3. Step 3: Cross multiply
    394,241.28x = 543,862.71 × 258,215.37
  4. Step 4: Simplify right side
    394,241.28x = 140,433,710,891.85
  5. Step 5: Solve for x
    x = 140,433,710,891.85/394,241.28
  6. Step 6: Final answer
    x = 356,212.60

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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.