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Finding the Fourth Proportional to 302,906.78, 418,082.60 and 188,272

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Solution

The fourth proportional to 302,906.78, 418,082.60 and 188,272 is: 259,859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,906.78 : 418,082.60 = 188,272 : x
  2. Step 2: Convert to fraction form
    302,906.78/418,082.60 = 188,272/x
  3. Step 3: Cross multiply
    302,906.78x = 418,082.60 × 188,272
  4. Step 4: Simplify right side
    302,906.78x = 78,713,247,267.20
  5. Step 5: Solve for x
    x = 78,713,247,267.20/302,906.78
  6. Step 6: Final answer
    x = 259,859.64

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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.