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Finding the Fourth Proportional to 394,159.81, 543,940.40 and 212,871.78

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Solution

The fourth proportional to 394,159.81, 543,940.40 and 212,871.78 is: 293,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,159.81 : 543,940.40 = 212,871.78 : x
  2. Step 2: Convert to fraction form
    394,159.81/543,940.40 = 212,871.78/x
  3. Step 3: Cross multiply
    394,159.81x = 543,940.40 × 212,871.78
  4. Step 4: Simplify right side
    394,159.81x = 115,789,557,910.03
  5. Step 5: Solve for x
    x = 115,789,557,910.03/394,159.81
  6. Step 6: Final answer
    x = 293,762.98

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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.