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Finding the Fourth Proportional to 322,568.64, 483,852.42 and 85,912.02

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Solution

The fourth proportional to 322,568.64, 483,852.42 and 85,912.02 is: 128,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,568.64 : 483,852.42 = 85,912.02 : x
  2. Step 2: Convert to fraction form
    322,568.64/483,852.42 = 85,912.02/x
  3. Step 3: Cross multiply
    322,568.64x = 483,852.42 × 85,912.02
  4. Step 4: Simplify right side
    322,568.64x = 41,568,738,784.09
  5. Step 5: Solve for x
    x = 41,568,738,784.09/322,568.64
  6. Step 6: Final answer
    x = 128,867.89

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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.