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Finding the Fourth Proportional to 281,370, 422,055 and 84,378

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Solution

The fourth proportional to 281,370, 422,055 and 84,378 is: 126,567

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,370 : 422,055 = 84,378 : x
  2. Step 2: Convert to fraction form
    281,370/422,055 = 84,378/x
  3. Step 3: Cross multiply
    281,370x = 422,055 × 84,378
  4. Step 4: Simplify right side
    281,370x = 35,612,156,790
  5. Step 5: Solve for x
    x = 35,612,156,790/281,370
  6. Step 6: Final answer
    x = 126,567

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.