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Finding the Fourth Proportional to 394,146, 543,921.48 and 215,298

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Solution

The fourth proportional to 394,146, 543,921.48 and 215,298 is: 297,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,146 : 543,921.48 = 215,298 : x
  2. Step 2: Convert to fraction form
    394,146/543,921.48 = 215,298/x
  3. Step 3: Cross multiply
    394,146x = 543,921.48 × 215,298
  4. Step 4: Simplify right side
    394,146x = 117,105,206,801.04
  5. Step 5: Solve for x
    x = 117,105,206,801.04/394,146
  6. Step 6: Final answer
    x = 297,111.24

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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.