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Finding the Fourth Proportional to 322,406.78, 483,609.56 and 85,749.71

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Solution

The fourth proportional to 322,406.78, 483,609.56 and 85,749.71 is: 128,624.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,406.78 : 483,609.56 = 85,749.71 : x
  2. Step 2: Convert to fraction form
    322,406.78/483,609.56 = 85,749.71/x
  3. Step 3: Cross multiply
    322,406.78x = 483,609.56 × 85,749.71
  4. Step 4: Simplify right side
    322,406.78x = 41,469,376,676.43
  5. Step 5: Solve for x
    x = 41,469,376,676.43/322,406.78
  6. Step 6: Final answer
    x = 128,624.40

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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.