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Finding the Fourth Proportional to 309,796.28, 464,640.75 and 85,103.22

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Solution

The fourth proportional to 309,796.28, 464,640.75 and 85,103.22 is: 127,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,796.28 : 464,640.75 = 85,103.22 : x
  2. Step 2: Convert to fraction form
    309,796.28/464,640.75 = 85,103.22/x
  3. Step 3: Cross multiply
    309,796.28x = 464,640.75 × 85,103.22
  4. Step 4: Simplify right side
    309,796.28x = 39,542,423,968.22
  5. Step 5: Solve for x
    x = 39,542,423,968.22/309,796.28
  6. Step 6: Final answer
    x = 127,640.09

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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.