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Finding the Fourth Proportional to 378,151.79, 521,842.77 and 206,071.29

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Solution

The fourth proportional to 378,151.79, 521,842.77 and 206,071.29 is: 284,374.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,151.79 : 521,842.77 = 206,071.29 : x
  2. Step 2: Convert to fraction form
    378,151.79/521,842.77 = 206,071.29/x
  3. Step 3: Cross multiply
    378,151.79x = 521,842.77 × 206,071.29
  4. Step 4: Simplify right side
    378,151.79x = 107,536,812,791.07
  5. Step 5: Solve for x
    x = 107,536,812,791.07/378,151.79
  6. Step 6: Final answer
    x = 284,374.73

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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.