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Finding the Fourth Proportional to 303,676.44, 418,802.31 and 196,133.28

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Solution

The fourth proportional to 303,676.44, 418,802.31 and 196,133.28 is: 270,488.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,676.44 : 418,802.31 = 196,133.28 : x
  2. Step 2: Convert to fraction form
    303,676.44/418,802.31 = 196,133.28/x
  3. Step 3: Cross multiply
    303,676.44x = 418,802.31 × 196,133.28
  4. Step 4: Simplify right side
    303,676.44x = 82,141,070,731.88
  5. Step 5: Solve for x
    x = 82,141,070,731.88/303,676.44
  6. Step 6: Final answer
    x = 270,488.78

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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.