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Finding the Fourth Proportional to 281,444.68, 422,078.73 and 81,778.87

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Solution

The fourth proportional to 281,444.68, 422,078.73 and 81,778.87 is: 122,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,444.68 : 422,078.73 = 81,778.87 : x
  2. Step 2: Convert to fraction form
    281,444.68/422,078.73 = 81,778.87/x
  3. Step 3: Cross multiply
    281,444.68x = 422,078.73 × 81,778.87
  4. Step 4: Simplify right side
    281,444.68x = 34,517,121,590.44
  5. Step 5: Solve for x
    x = 34,517,121,590.44/281,444.68
  6. Step 6: Final answer
    x = 122,642.65

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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.