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Finding the Fourth Proportional to 378,213.44, 521,769.22 and 270,744.28

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Solution

The fourth proportional to 378,213.44, 521,769.22 and 270,744.28 is: 373,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,213.44 : 521,769.22 = 270,744.28 : x
  2. Step 2: Convert to fraction form
    378,213.44/521,769.22 = 270,744.28/x
  3. Step 3: Cross multiply
    378,213.44x = 521,769.22 × 270,744.28
  4. Step 4: Simplify right side
    378,213.44x = 141,266,031,795.06
  5. Step 5: Solve for x
    x = 141,266,031,795.06/378,213.44
  6. Step 6: Final answer
    x = 373,508.76

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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.