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Finding the Fourth Proportional to 298,496.32, 447,744 and 204,717.76

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Solution

The fourth proportional to 298,496.32, 447,744 and 204,717.76 is: 307,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,496.32 : 447,744 = 204,717.76 : x
  2. Step 2: Convert to fraction form
    298,496.32/447,744 = 204,717.76/x
  3. Step 3: Cross multiply
    298,496.32x = 447,744 × 204,717.76
  4. Step 4: Simplify right side
    298,496.32x = 91,661,148,733.44
  5. Step 5: Solve for x
    x = 91,661,148,733.44/298,496.32
  6. Step 6: Final answer
    x = 307,076.31

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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.