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Finding the Fourth Proportional to 281,299.14, 422,106.53 and 279,162.77

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Solution

The fourth proportional to 281,299.14, 422,106.53 and 279,162.77 is: 418,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,299.14 : 422,106.53 = 279,162.77 : x
  2. Step 2: Convert to fraction form
    281,299.14/422,106.53 = 279,162.77/x
  3. Step 3: Cross multiply
    281,299.14x = 422,106.53 × 279,162.77
  4. Step 4: Simplify right side
    281,299.14x = 117,836,424,643.54
  5. Step 5: Solve for x
    x = 117,836,424,643.54/281,299.14
  6. Step 6: Final answer
    x = 418,900.76

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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.