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Finding the Fourth Proportional to 306,271, 422,653.98 and 172,135

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Solution

The fourth proportional to 306,271, 422,653.98 and 172,135 is: 237,546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,271 : 422,653.98 = 172,135 : x
  2. Step 2: Convert to fraction form
    306,271/422,653.98 = 172,135/x
  3. Step 3: Cross multiply
    306,271x = 422,653.98 × 172,135
  4. Step 4: Simplify right side
    306,271x = 72,753,542,847.30
  5. Step 5: Solve for x
    x = 72,753,542,847.30/306,271
  6. Step 6: Final answer
    x = 237,546.30

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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.