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Finding the Fourth Proportional to 281,706.32, 388,754.64 and 154,381.82

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Solution

The fourth proportional to 281,706.32, 388,754.64 and 154,381.82 is: 213,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,706.32 : 388,754.64 = 154,381.82 : x
  2. Step 2: Convert to fraction form
    281,706.32/388,754.64 = 154,381.82/x
  3. Step 3: Cross multiply
    281,706.32x = 388,754.64 × 154,381.82
  4. Step 4: Simplify right side
    281,706.32x = 60,016,646,912.87
  5. Step 5: Solve for x
    x = 60,016,646,912.87/281,706.32
  6. Step 6: Final answer
    x = 213,046.86

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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.