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Finding the Fourth Proportional to 281,815.95, 388,920.92 and 154,496.91

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Solution

The fourth proportional to 281,815.95, 388,920.92 and 154,496.91 is: 213,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,815.95 : 388,920.92 = 154,496.91 : x
  2. Step 2: Convert to fraction form
    281,815.95/388,920.92 = 154,496.91/x
  3. Step 3: Cross multiply
    281,815.95x = 388,920.92 × 154,496.91
  4. Step 4: Simplify right side
    281,815.95x = 60,087,079,601.87
  5. Step 5: Solve for x
    x = 60,087,079,601.87/281,815.95
  6. Step 6: Final answer
    x = 213,213.91

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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.