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Finding the Fourth Proportional to 394,072, 543,819.36 and 215,224

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Solution

The fourth proportional to 394,072, 543,819.36 and 215,224 is: 297,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,072 : 543,819.36 = 215,224 : x
  2. Step 2: Convert to fraction form
    394,072/543,819.36 = 215,224/x
  3. Step 3: Cross multiply
    394,072x = 543,819.36 × 215,224
  4. Step 4: Simplify right side
    394,072x = 117,042,977,936.64
  5. Step 5: Solve for x
    x = 117,042,977,936.64/394,072
  6. Step 6: Final answer
    x = 297,009.12

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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.