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Finding the Fourth Proportional to 492,198.17, 738,358.83 and 192,639.92

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Solution

The fourth proportional to 492,198.17, 738,358.83 and 192,639.92 is: 288,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,198.17 : 738,358.83 = 192,639.92 : x
  2. Step 2: Convert to fraction form
    492,198.17/738,358.83 = 192,639.92/x
  3. Step 3: Cross multiply
    492,198.17x = 738,358.83 × 192,639.92
  4. Step 4: Simplify right side
    492,198.17x = 142,237,382,250.70
  5. Step 5: Solve for x
    x = 142,237,382,250.70/492,198.17
  6. Step 6: Final answer
    x = 288,983.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.