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Finding the Fourth Proportional to 281,382, 422,073 and 84,390

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Solution

The fourth proportional to 281,382, 422,073 and 84,390 is: 126,585

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,382 : 422,073 = 84,390 : x
  2. Step 2: Convert to fraction form
    281,382/422,073 = 84,390/x
  3. Step 3: Cross multiply
    281,382x = 422,073 × 84,390
  4. Step 4: Simplify right side
    281,382x = 35,618,740,470
  5. Step 5: Solve for x
    x = 35,618,740,470/281,382
  6. Step 6: Final answer
    x = 126,585

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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.