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Finding the Fourth Proportional to 282,467.28, 389,709.97 and 159,942.97

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Solution

The fourth proportional to 282,467.28, 389,709.97 and 159,942.97 is: 220,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,467.28 : 389,709.97 = 159,942.97 : x
  2. Step 2: Convert to fraction form
    282,467.28/389,709.97 = 159,942.97/x
  3. Step 3: Cross multiply
    282,467.28x = 389,709.97 × 159,942.97
  4. Step 4: Simplify right side
    282,467.28x = 62,331,370,127.69
  5. Step 5: Solve for x
    x = 62,331,370,127.69/282,467.28
  6. Step 6: Final answer
    x = 220,667.57

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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.