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Finding the Fourth Proportional to 281,738.64, 422,620.92 and 115,410

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Solution

The fourth proportional to 281,738.64, 422,620.92 and 115,410 is: 173,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,738.64 : 422,620.92 = 115,410 : x
  2. Step 2: Convert to fraction form
    281,738.64/422,620.92 = 115,410/x
  3. Step 3: Cross multiply
    281,738.64x = 422,620.92 × 115,410
  4. Step 4: Simplify right side
    281,738.64x = 48,774,680,377.20
  5. Step 5: Solve for x
    x = 48,774,680,377.20/281,738.64
  6. Step 6: Final answer
    x = 173,120.31

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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.