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Finding the Fourth Proportional to 322,282.57, 482,636.52 and 278,192.65

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Solution

The fourth proportional to 322,282.57, 482,636.52 and 278,192.65 is: 416,609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,282.57 : 482,636.52 = 278,192.65 : x
  2. Step 2: Convert to fraction form
    322,282.57/482,636.52 = 278,192.65/x
  3. Step 3: Cross multiply
    322,282.57x = 482,636.52 × 278,192.65
  4. Step 4: Simplify right side
    322,282.57x = 134,265,932,485.58
  5. Step 5: Solve for x
    x = 134,265,932,485.58/322,282.57
  6. Step 6: Final answer
    x = 416,609.35

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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.