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Finding the Fourth Proportional to 394,091.84, 543,843.36 and 215,240

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Solution

The fourth proportional to 394,091.84, 543,843.36 and 215,240 is: 297,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,091.84 : 543,843.36 = 215,240 : x
  2. Step 2: Convert to fraction form
    394,091.84/543,843.36 = 215,240/x
  3. Step 3: Cross multiply
    394,091.84x = 543,843.36 × 215,240
  4. Step 4: Simplify right side
    394,091.84x = 117,056,844,806.40
  5. Step 5: Solve for x
    x = 117,056,844,806.40/394,091.84
  6. Step 6: Final answer
    x = 297,029.35

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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.