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Finding the Fourth Proportional to 281,414, 388,351.36 and 162,182

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Solution

The fourth proportional to 281,414, 388,351.36 and 162,182 is: 223,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,414 : 388,351.36 = 162,182 : x
  2. Step 2: Convert to fraction form
    281,414/388,351.36 = 162,182/x
  3. Step 3: Cross multiply
    281,414x = 388,351.36 × 162,182
  4. Step 4: Simplify right side
    281,414x = 62,983,600,267.52
  5. Step 5: Solve for x
    x = 62,983,600,267.52/281,414
  6. Step 6: Final answer
    x = 223,811.18

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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.