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Finding the Fourth Proportional to 394,478.56, 544,380.48 and 213,189.88

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Solution

The fourth proportional to 394,478.56, 544,380.48 and 213,189.88 is: 294,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,478.56 : 544,380.48 = 213,189.88 : x
  2. Step 2: Convert to fraction form
    394,478.56/544,380.48 = 213,189.88/x
  3. Step 3: Cross multiply
    394,478.56x = 544,380.48 × 213,189.88
  4. Step 4: Simplify right side
    394,478.56x = 116,056,409,205.54
  5. Step 5: Solve for x
    x = 116,056,409,205.54/394,478.56
  6. Step 6: Final answer
    x = 294,202.07

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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.