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Finding the Fourth Proportional to 411,902.07, 568,131.33 and 378,019.97

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Solution

The fourth proportional to 411,902.07, 568,131.33 and 378,019.97 is: 521,398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,902.07 : 568,131.33 = 378,019.97 : x
  2. Step 2: Convert to fraction form
    411,902.07/568,131.33 = 378,019.97/x
  3. Step 3: Cross multiply
    411,902.07x = 568,131.33 × 378,019.97
  4. Step 4: Simplify right side
    411,902.07x = 214,764,988,322.66
  5. Step 5: Solve for x
    x = 214,764,988,322.66/411,902.07
  6. Step 6: Final answer
    x = 521,398.18

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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.