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Finding the Fourth Proportional to 281,172.84, 422,770.86 and 259,254.36

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Solution

The fourth proportional to 281,172.84, 422,770.86 and 259,254.36 is: 389,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,172.84 : 422,770.86 = 259,254.36 : x
  2. Step 2: Convert to fraction form
    281,172.84/422,770.86 = 259,254.36/x
  3. Step 3: Cross multiply
    281,172.84x = 422,770.86 × 259,254.36
  4. Step 4: Simplify right side
    281,172.84x = 109,605,188,735.95
  5. Step 5: Solve for x
    x = 109,605,188,735.95/281,172.84
  6. Step 6: Final answer
    x = 389,814.28

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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.