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Finding the Fourth Proportional to 286,571.52, 395,366.40 and 196,992

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Solution

The fourth proportional to 286,571.52, 395,366.40 and 196,992 is: 271,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,571.52 : 395,366.40 = 196,992 : x
  2. Step 2: Convert to fraction form
    286,571.52/395,366.40 = 196,992/x
  3. Step 3: Cross multiply
    286,571.52x = 395,366.40 × 196,992
  4. Step 4: Simplify right side
    286,571.52x = 77,884,017,868.80
  5. Step 5: Solve for x
    x = 77,884,017,868.80/286,571.52
  6. Step 6: Final answer
    x = 271,778.64

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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.