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Finding the Fourth Proportional to 664,135.92, 996,200.64 and 308,954.16

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Solution

The fourth proportional to 664,135.92, 996,200.64 and 308,954.16 is: 463,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,135.92 : 996,200.64 = 308,954.16 : x
  2. Step 2: Convert to fraction form
    664,135.92/996,200.64 = 308,954.16/x
  3. Step 3: Cross multiply
    664,135.92x = 996,200.64 × 308,954.16
  4. Step 4: Simplify right side
    664,135.92x = 307,780,331,922.66
  5. Step 5: Solve for x
    x = 307,780,331,922.66/664,135.92
  6. Step 6: Final answer
    x = 463,429.73

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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.