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Finding the Fourth Proportional to 394,275, 544,099.50 and 215,427

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Solution

The fourth proportional to 394,275, 544,099.50 and 215,427 is: 297,289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,275 : 544,099.50 = 215,427 : x
  2. Step 2: Convert to fraction form
    394,275/544,099.50 = 215,427/x
  3. Step 3: Cross multiply
    394,275x = 544,099.50 × 215,427
  4. Step 4: Simplify right side
    394,275x = 117,213,722,986.50
  5. Step 5: Solve for x
    x = 117,213,722,986.50/394,275
  6. Step 6: Final answer
    x = 297,289.26

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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.