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Finding the Fourth Proportional to 287,509.10, 396,753.17 and 165,021.62

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Solution

The fourth proportional to 287,509.10, 396,753.17 and 165,021.62 is: 227,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,509.10 : 396,753.17 = 165,021.62 : x
  2. Step 2: Convert to fraction form
    287,509.10/396,753.17 = 165,021.62/x
  3. Step 3: Cross multiply
    287,509.10x = 396,753.17 × 165,021.62
  4. Step 4: Simplify right side
    287,509.10x = 65,472,848,044.66
  5. Step 5: Solve for x
    x = 65,472,848,044.66/287,509.10
  6. Step 6: Final answer
    x = 227,724.44

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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.