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Finding the Fourth Proportional to 394,134.37, 543,905.42 and 212,846.31

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Solution

The fourth proportional to 394,134.37, 543,905.42 and 212,846.31 is: 293,727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,134.37 : 543,905.42 = 212,846.31 : x
  2. Step 2: Convert to fraction form
    394,134.37/543,905.42 = 212,846.31/x
  3. Step 3: Cross multiply
    394,134.37x = 543,905.42 × 212,846.31
  4. Step 4: Simplify right side
    394,134.37x = 115,768,263,527.88
  5. Step 5: Solve for x
    x = 115,768,263,527.88/394,134.37
  6. Step 6: Final answer
    x = 293,727.91

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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.