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Finding the Fourth Proportional to 309,793.28, 464,636.25 and 85,100.22

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Solution

The fourth proportional to 309,793.28, 464,636.25 and 85,100.22 is: 127,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,793.28 : 464,636.25 = 85,100.22 : x
  2. Step 2: Convert to fraction form
    309,793.28/464,636.25 = 85,100.22/x
  3. Step 3: Cross multiply
    309,793.28x = 464,636.25 × 85,100.22
  4. Step 4: Simplify right side
    309,793.28x = 39,540,647,094.98
  5. Step 5: Solve for x
    x = 39,540,647,094.98/309,793.28
  6. Step 6: Final answer
    x = 127,635.59

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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.