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Finding the Fourth Proportional to 303,491.82, 418,976.01 and 221,728.26

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Solution

The fourth proportional to 303,491.82, 418,976.01 and 221,728.26 is: 306,099.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,491.82 : 418,976.01 = 221,728.26 : x
  2. Step 2: Convert to fraction form
    303,491.82/418,976.01 = 221,728.26/x
  3. Step 3: Cross multiply
    303,491.82x = 418,976.01 × 221,728.26
  4. Step 4: Simplify right side
    303,491.82x = 92,898,821,679.04
  5. Step 5: Solve for x
    x = 92,898,821,679.04/303,491.82
  6. Step 6: Final answer
    x = 306,099.92

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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.