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Finding the Fourth Proportional to 287,643.44, 396,930.87 and 165,107.51

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Solution

The fourth proportional to 287,643.44, 396,930.87 and 165,107.51 is: 227,838.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,643.44 : 396,930.87 = 165,107.51 : x
  2. Step 2: Convert to fraction form
    287,643.44/396,930.87 = 165,107.51/x
  3. Step 3: Cross multiply
    287,643.44x = 396,930.87 × 165,107.51
  4. Step 4: Simplify right side
    287,643.44x = 65,536,267,587.83
  5. Step 5: Solve for x
    x = 65,536,267,587.83/287,643.44
  6. Step 6: Final answer
    x = 227,838.56

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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.