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Finding the Fourth Proportional to 394,796.28, 544,817.30 and 213,508.41

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Solution

The fourth proportional to 394,796.28, 544,817.30 and 213,508.41 is: 294,640.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,796.28 : 544,817.30 = 213,508.41 : x
  2. Step 2: Convert to fraction form
    394,796.28/544,817.30 = 213,508.41/x
  3. Step 3: Cross multiply
    394,796.28x = 544,817.30 × 213,508.41
  4. Step 4: Simplify right side
    394,796.28x = 116,323,075,463.49
  5. Step 5: Solve for x
    x = 116,323,075,463.49/394,796.28
  6. Step 6: Final answer
    x = 294,640.76

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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.