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Finding the Fourth Proportional to 281,481.68, 421,225.14 and 248,266.64

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Solution

The fourth proportional to 281,481.68, 421,225.14 and 248,266.64 is: 371,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,481.68 : 421,225.14 = 248,266.64 : x
  2. Step 2: Convert to fraction form
    281,481.68/421,225.14 = 248,266.64/x
  3. Step 3: Cross multiply
    281,481.68x = 421,225.14 × 248,266.64
  4. Step 4: Simplify right side
    281,481.68x = 104,576,150,191.33
  5. Step 5: Solve for x
    x = 104,576,150,191.33/281,481.68
  6. Step 6: Final answer
    x = 371,520.27

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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.