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Finding the Fourth Proportional to 664,324.70, 996,632.85 and 214,969.10

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Solution

The fourth proportional to 664,324.70, 996,632.85 and 214,969.10 is: 322,500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,324.70 : 996,632.85 = 214,969.10 : x
  2. Step 2: Convert to fraction form
    664,324.70/996,632.85 = 214,969.10/x
  3. Step 3: Cross multiply
    664,324.70x = 996,632.85 × 214,969.10
  4. Step 4: Simplify right side
    664,324.70x = 214,245,266,794.94
  5. Step 5: Solve for x
    x = 214,245,266,794.94/664,324.70
  6. Step 6: Final answer
    x = 322,500.83

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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.