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Finding the Fourth Proportional to 394,273, 544,096.74 and 215,425

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Solution

The fourth proportional to 394,273, 544,096.74 and 215,425 is: 297,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,273 : 544,096.74 = 215,425 : x
  2. Step 2: Convert to fraction form
    394,273/544,096.74 = 215,425/x
  3. Step 3: Cross multiply
    394,273x = 544,096.74 × 215,425
  4. Step 4: Simplify right side
    394,273x = 117,212,040,214.50
  5. Step 5: Solve for x
    x = 117,212,040,214.50/394,273
  6. Step 6: Final answer
    x = 297,286.50

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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.