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Finding the Fourth Proportional to 281,204.60, 421,806.90 and 259,553.30

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Solution

The fourth proportional to 281,204.60, 421,806.90 and 259,553.30 is: 389,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,204.60 : 421,806.90 = 259,553.30 : x
  2. Step 2: Convert to fraction form
    281,204.60/421,806.90 = 259,553.30/x
  3. Step 3: Cross multiply
    281,204.60x = 421,806.90 × 259,553.30
  4. Step 4: Simplify right side
    281,204.60x = 109,481,372,857.77
  5. Step 5: Solve for x
    x = 109,481,372,857.77/281,204.60
  6. Step 6: Final answer
    x = 389,329.95

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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.