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Finding the Fourth Proportional to 281,343.78, 422,016.41 and 70,981.72

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Solution

The fourth proportional to 281,343.78, 422,016.41 and 70,981.72 is: 106,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,343.78 : 422,016.41 = 70,981.72 : x
  2. Step 2: Convert to fraction form
    281,343.78/422,016.41 = 70,981.72/x
  3. Step 3: Cross multiply
    281,343.78x = 422,016.41 × 70,981.72
  4. Step 4: Simplify right side
    281,343.78x = 29,955,449,772.44
  5. Step 5: Solve for x
    x = 29,955,449,772.44/281,343.78
  6. Step 6: Final answer
    x = 106,472.76

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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.