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Finding the Fourth Proportional to 287,293.43, 396,285.31 and 206,593.13

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Solution

The fourth proportional to 287,293.43, 396,285.31 and 206,593.13 is: 284,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,293.43 : 396,285.31 = 206,593.13 : x
  2. Step 2: Convert to fraction form
    287,293.43/396,285.31 = 206,593.13/x
  3. Step 3: Cross multiply
    287,293.43x = 396,285.31 × 206,593.13
  4. Step 4: Simplify right side
    287,293.43x = 81,869,823,814.88
  5. Step 5: Solve for x
    x = 81,869,823,814.88/287,293.43
  6. Step 6: Final answer
    x = 284,969.35

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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.