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Finding the Fourth Proportional to 394,134.36, 543,905.39 and 212,846.29

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Solution

The fourth proportional to 394,134.36, 543,905.39 and 212,846.29 is: 293,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,134.36 : 543,905.39 = 212,846.29 : x
  2. Step 2: Convert to fraction form
    394,134.36/543,905.39 = 212,846.29/x
  3. Step 3: Cross multiply
    394,134.36x = 543,905.39 × 212,846.29
  4. Step 4: Simplify right side
    394,134.36x = 115,768,243,544.86
  5. Step 5: Solve for x
    x = 115,768,243,544.86/394,134.36
  6. Step 6: Final answer
    x = 293,727.87

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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.