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Finding the Fourth Proportional to 378,158.54, 521,852.09 and 206,078.02

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Solution

The fourth proportional to 378,158.54, 521,852.09 and 206,078.02 is: 284,384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,158.54 : 521,852.09 = 206,078.02 : x
  2. Step 2: Convert to fraction form
    378,158.54/521,852.09 = 206,078.02/x
  3. Step 3: Cross multiply
    378,158.54x = 521,852.09 × 206,078.02
  4. Step 4: Simplify right side
    378,158.54x = 107,542,243,105.04
  5. Step 5: Solve for x
    x = 107,542,243,105.04/378,158.54
  6. Step 6: Final answer
    x = 284,384.02

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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.