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Finding the Fourth Proportional to 307,021.52, 460,494.56 and 82,399.60

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Solution

The fourth proportional to 307,021.52, 460,494.56 and 82,399.60 is: 123,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,021.52 : 460,494.56 = 82,399.60 : x
  2. Step 2: Convert to fraction form
    307,021.52/460,494.56 = 82,399.60/x
  3. Step 3: Cross multiply
    307,021.52x = 460,494.56 × 82,399.60
  4. Step 4: Simplify right side
    307,021.52x = 37,944,567,546.18
  5. Step 5: Solve for x
    x = 37,944,567,546.18/307,021.52
  6. Step 6: Final answer
    x = 123,589.28

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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.