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Finding the Fourth Proportional to 281,863.75, 422,352.19 and 217,978.29

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Solution

The fourth proportional to 281,863.75, 422,352.19 and 217,978.29 is: 326,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,863.75 : 422,352.19 = 217,978.29 : x
  2. Step 2: Convert to fraction form
    281,863.75/422,352.19 = 217,978.29/x
  3. Step 3: Cross multiply
    281,863.75x = 422,352.19 × 217,978.29
  4. Step 4: Simplify right side
    281,863.75x = 92,063,607,506.83
  5. Step 5: Solve for x
    x = 92,063,607,506.83/281,863.75
  6. Step 6: Final answer
    x = 326,624.50

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1.5x scale

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.