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Finding the Fourth Proportional to 281,243.10, 421,864.65 and 84,251.10

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Solution

The fourth proportional to 281,243.10, 421,864.65 and 84,251.10 is: 126,376.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,243.10 : 421,864.65 = 84,251.10 : x
  2. Step 2: Convert to fraction form
    281,243.10/421,864.65 = 84,251.10/x
  3. Step 3: Cross multiply
    281,243.10x = 421,864.65 × 84,251.10
  4. Step 4: Simplify right side
    281,243.10x = 35,542,560,813.62
  5. Step 5: Solve for x
    x = 35,542,560,813.62/281,243.10
  6. Step 6: Final answer
    x = 126,376.65

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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.