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Finding the Fourth Proportional to 281,694.64, 388,741.67 and 154,367.50

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Solution

The fourth proportional to 281,694.64, 388,741.67 and 154,367.50 is: 213,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,694.64 : 388,741.67 = 154,367.50 : x
  2. Step 2: Convert to fraction form
    281,694.64/388,741.67 = 154,367.50/x
  3. Step 3: Cross multiply
    281,694.64x = 388,741.67 × 154,367.50
  4. Step 4: Simplify right side
    281,694.64x = 60,009,079,743.73
  5. Step 5: Solve for x
    x = 60,009,079,743.73/281,694.64
  6. Step 6: Final answer
    x = 213,028.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.