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Finding the Fourth Proportional to 287,311.62, 396,310.41 and 206,611.32

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Solution

The fourth proportional to 287,311.62, 396,310.41 and 206,611.32 is: 284,994.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,311.62 : 396,310.41 = 206,611.32 : x
  2. Step 2: Convert to fraction form
    287,311.62/396,310.41 = 206,611.32/x
  3. Step 3: Cross multiply
    287,311.62x = 396,310.41 × 206,611.32
  4. Step 4: Simplify right side
    287,311.62x = 81,882,216,939.84
  5. Step 5: Solve for x
    x = 81,882,216,939.84/287,311.62
  6. Step 6: Final answer
    x = 284,994.45

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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.