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Finding the Fourth Proportional to 331,993.96, 498,116.76 and 198,969.68

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Solution

The fourth proportional to 331,993.96, 498,116.76 and 198,969.68 is: 298,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,993.96 : 498,116.76 = 198,969.68 : x
  2. Step 2: Convert to fraction form
    331,993.96/498,116.76 = 198,969.68/x
  3. Step 3: Cross multiply
    331,993.96x = 498,116.76 × 198,969.68
  4. Step 4: Simplify right side
    331,993.96x = 99,110,132,339.84
  5. Step 5: Solve for x
    x = 99,110,132,339.84/331,993.96
  6. Step 6: Final answer
    x = 298,529.93

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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.