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Finding the Fourth Proportional to 305,874.43, 421,988.94 and 225,493.07

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Solution

The fourth proportional to 305,874.43, 421,988.94 and 225,493.07 is: 311,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,874.43 : 421,988.94 = 225,493.07 : x
  2. Step 2: Convert to fraction form
    305,874.43/421,988.94 = 225,493.07/x
  3. Step 3: Cross multiply
    305,874.43x = 421,988.94 × 225,493.07
  4. Step 4: Simplify right side
    305,874.43x = 95,155,579,476.70
  5. Step 5: Solve for x
    x = 95,155,579,476.70/305,874.43
  6. Step 6: Final answer
    x = 311,093.61

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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.