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Finding the Fourth Proportional to 394,574.56, 544,512.96 and 213,286

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Solution

The fourth proportional to 394,574.56, 544,512.96 and 213,286 is: 294,334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,574.56 : 544,512.96 = 213,286 : x
  2. Step 2: Convert to fraction form
    394,574.56/544,512.96 = 213,286/x
  3. Step 3: Cross multiply
    394,574.56x = 544,512.96 × 213,286
  4. Step 4: Simplify right side
    394,574.56x = 116,136,991,186.56
  5. Step 5: Solve for x
    x = 116,136,991,186.56/394,574.56
  6. Step 6: Final answer
    x = 294,334.72

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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.