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Finding the Fourth Proportional to 271,619.30, 408,043.35 and 188,675.30

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Solution

The fourth proportional to 271,619.30, 408,043.35 and 188,675.30 is: 283,439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,619.30 : 408,043.35 = 188,675.30 : x
  2. Step 2: Convert to fraction form
    271,619.30/408,043.35 = 188,675.30/x
  3. Step 3: Cross multiply
    271,619.30x = 408,043.35 × 188,675.30
  4. Step 4: Simplify right side
    271,619.30x = 76,987,701,474.26
  5. Step 5: Solve for x
    x = 76,987,701,474.26/271,619.30
  6. Step 6: Final answer
    x = 283,439.73

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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.