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Finding the Fourth Proportional to 378,175.86, 521,882.76 and 206,093.88

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Solution

The fourth proportional to 378,175.86, 521,882.76 and 206,093.88 is: 284,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,175.86 : 521,882.76 = 206,093.88 : x
  2. Step 2: Convert to fraction form
    378,175.86/521,882.76 = 206,093.88/x
  3. Step 3: Cross multiply
    378,175.86x = 521,882.76 × 206,093.88
  4. Step 4: Simplify right side
    378,175.86x = 107,556,842,913.51
  5. Step 5: Solve for x
    x = 107,556,842,913.51/378,175.86
  6. Step 6: Final answer
    x = 284,409.59

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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.