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Finding the Fourth Proportional to 331,991.96, 498,113.76 and 198,967.68

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Solution

The fourth proportional to 331,991.96, 498,113.76 and 198,967.68 is: 298,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,991.96 : 498,113.76 = 198,967.68 : x
  2. Step 2: Convert to fraction form
    331,991.96/498,113.76 = 198,967.68/x
  3. Step 3: Cross multiply
    331,991.96x = 498,113.76 × 198,967.68
  4. Step 4: Simplify right side
    331,991.96x = 99,108,539,203.28
  5. Step 5: Solve for x
    x = 99,108,539,203.28/331,991.96
  6. Step 6: Final answer
    x = 298,526.93

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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.