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Finding the Fourth Proportional to 378,107.82, 521,387.55 and 340,024.86

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Solution

The fourth proportional to 378,107.82, 521,387.55 and 340,024.86 is: 468,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,107.82 : 521,387.55 = 340,024.86 : x
  2. Step 2: Convert to fraction form
    378,107.82/521,387.55 = 340,024.86/x
  3. Step 3: Cross multiply
    378,107.82x = 521,387.55 × 340,024.86
  4. Step 4: Simplify right side
    378,107.82x = 177,284,728,694.49
  5. Step 5: Solve for x
    x = 177,284,728,694.49/378,107.82
  6. Step 6: Final answer
    x = 468,873.48

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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.