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Finding the Fourth Proportional to 394,230, 544,037.40 and 215,382

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Solution

The fourth proportional to 394,230, 544,037.40 and 215,382 is: 297,227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,230 : 544,037.40 = 215,382 : x
  2. Step 2: Convert to fraction form
    394,230/544,037.40 = 215,382/x
  3. Step 3: Cross multiply
    394,230x = 544,037.40 × 215,382
  4. Step 4: Simplify right side
    394,230x = 117,175,863,286.80
  5. Step 5: Solve for x
    x = 117,175,863,286.80/394,230
  6. Step 6: Final answer
    x = 297,227.16

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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.