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Finding the Fourth Proportional to 394,212.16, 544,013.28 and 215,364.16

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Solution

The fourth proportional to 394,212.16, 544,013.28 and 215,364.16 is: 297,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,212.16 : 544,013.28 = 215,364.16 : x
  2. Step 2: Convert to fraction form
    394,212.16/544,013.28 = 215,364.16/x
  3. Step 3: Cross multiply
    394,212.16x = 544,013.28 × 215,364.16
  4. Step 4: Simplify right side
    394,212.16x = 117,160,963,076.05
  5. Step 5: Solve for x
    x = 117,160,963,076.05/394,212.16
  6. Step 6: Final answer
    x = 297,202.81

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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.