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Finding the Fourth Proportional to 265,429.62, 397,208.97 and 165,636.78

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Solution

The fourth proportional to 265,429.62, 397,208.97 and 165,636.78 is: 247,871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,429.62 : 397,208.97 = 165,636.78 : x
  2. Step 2: Convert to fraction form
    265,429.62/397,208.97 = 165,636.78/x
  3. Step 3: Cross multiply
    265,429.62x = 397,208.97 × 165,636.78
  4. Step 4: Simplify right side
    265,429.62x = 65,792,414,777.92
  5. Step 5: Solve for x
    x = 65,792,414,777.92/265,429.62
  6. Step 6: Final answer
    x = 247,871.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.