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Finding the Fourth Proportional to 321,264.90, 443,348.21 and 178,027.34

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Solution

The fourth proportional to 321,264.90, 443,348.21 and 178,027.34 is: 245,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,264.90 : 443,348.21 = 178,027.34 : x
  2. Step 2: Convert to fraction form
    321,264.90/443,348.21 = 178,027.34/x
  3. Step 3: Cross multiply
    321,264.90x = 443,348.21 × 178,027.34
  4. Step 4: Simplify right side
    321,264.90x = 78,928,099,967.37
  5. Step 5: Solve for x
    x = 78,928,099,967.37/321,264.90
  6. Step 6: Final answer
    x = 245,679.19

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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.