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Finding the Fourth Proportional to 394,232, 544,040.16 and 215,384

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Solution

The fourth proportional to 394,232, 544,040.16 and 215,384 is: 297,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,232 : 544,040.16 = 215,384 : x
  2. Step 2: Convert to fraction form
    394,232/544,040.16 = 215,384/x
  3. Step 3: Cross multiply
    394,232x = 544,040.16 × 215,384
  4. Step 4: Simplify right side
    394,232x = 117,177,545,821.44
  5. Step 5: Solve for x
    x = 117,177,545,821.44/394,232
  6. Step 6: Final answer
    x = 297,229.92

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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.