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Finding the Fourth Proportional to 378,214.43, 521,920.54 and 206,128.74

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Solution

The fourth proportional to 378,214.43, 521,920.54 and 206,128.74 is: 284,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,214.43 : 521,920.54 = 206,128.74 : x
  2. Step 2: Convert to fraction form
    378,214.43/521,920.54 = 206,128.74/x
  3. Step 3: Cross multiply
    378,214.43x = 521,920.54 × 206,128.74
  4. Step 4: Simplify right side
    378,214.43x = 107,582,822,560.11
  5. Step 5: Solve for x
    x = 107,582,822,560.11/378,214.43
  6. Step 6: Final answer
    x = 284,449.28

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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.