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Finding the Fourth Proportional to 206,468.38, 309,493.41 and 139,915.24

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Solution

The fourth proportional to 206,468.38, 309,493.41 and 139,915.24 is: 209,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,468.38 : 309,493.41 = 139,915.24 : x
  2. Step 2: Convert to fraction form
    206,468.38/309,493.41 = 139,915.24/x
  3. Step 3: Cross multiply
    206,468.38x = 309,493.41 × 139,915.24
  4. Step 4: Simplify right side
    206,468.38x = 43,302,844,738.57
  5. Step 5: Solve for x
    x = 43,302,844,738.57/206,468.38
  6. Step 6: Final answer
    x = 209,731.12

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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.