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Finding the Fourth Proportional to 271,969.41, 408,027.95 and 82,422.12

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Solution

The fourth proportional to 271,969.41, 408,027.95 and 82,422.12 is: 123,655.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,969.41 : 408,027.95 = 82,422.12 : x
  2. Step 2: Convert to fraction form
    271,969.41/408,027.95 = 82,422.12/x
  3. Step 3: Cross multiply
    271,969.41x = 408,027.95 × 82,422.12
  4. Step 4: Simplify right side
    271,969.41x = 33,630,528,246.14
  5. Step 5: Solve for x
    x = 33,630,528,246.14/271,969.41
  6. Step 6: Final answer
    x = 123,655.55

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1.5x scale

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.