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Finding the Fourth Proportional to 322,240, 483,462.72 and 135,201.28

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Solution

The fourth proportional to 322,240, 483,462.72 and 135,201.28 is: 202,845.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,240 : 483,462.72 = 135,201.28 : x
  2. Step 2: Convert to fraction form
    322,240/483,462.72 = 135,201.28/x
  3. Step 3: Cross multiply
    322,240x = 483,462.72 × 135,201.28
  4. Step 4: Simplify right side
    322,240x = 65,364,778,576.28
  5. Step 5: Solve for x
    x = 65,364,778,576.28/322,240
  6. Step 6: Final answer
    x = 202,845.02

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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.