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Finding the Fourth Proportional to 275,376.84, 412,262.93 and 204,613.11

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Solution

The fourth proportional to 275,376.84, 412,262.93 and 204,613.11 is: 306,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,376.84 : 412,262.93 = 204,613.11 : x
  2. Step 2: Convert to fraction form
    275,376.84/412,262.93 = 204,613.11/x
  3. Step 3: Cross multiply
    275,376.84x = 412,262.93 × 204,613.11
  4. Step 4: Simplify right side
    275,376.84x = 84,354,400,245.01
  5. Step 5: Solve for x
    x = 84,354,400,245.01/275,376.84
  6. Step 6: Final answer
    x = 306,323.51

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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.