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Finding the Fourth Proportional to 378,169.08, 521,866.50 and 206,088.54

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Solution

The fourth proportional to 378,169.08, 521,866.50 and 206,088.54 is: 284,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,169.08 : 521,866.50 = 206,088.54 : x
  2. Step 2: Convert to fraction form
    378,169.08/521,866.50 = 206,088.54/x
  3. Step 3: Cross multiply
    378,169.08x = 521,866.50 × 206,088.54
  4. Step 4: Simplify right side
    378,169.08x = 107,550,705,059.91
  5. Step 5: Solve for x
    x = 107,550,705,059.91/378,169.08
  6. Step 6: Final answer
    x = 284,398.46

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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.