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Finding the Fourth Proportional to 331,497.20, 496,954.20 and 198,430.40

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Solution

The fourth proportional to 331,497.20, 496,954.20 and 198,430.40 is: 297,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,497.20 : 496,954.20 = 198,430.40 : x
  2. Step 2: Convert to fraction form
    331,497.20/496,954.20 = 198,430.40/x
  3. Step 3: Cross multiply
    331,497.20x = 496,954.20 × 198,430.40
  4. Step 4: Simplify right side
    331,497.20x = 98,610,820,687.68
  5. Step 5: Solve for x
    x = 98,610,820,687.68/331,497.20
  6. Step 6: Final answer
    x = 297,471.05

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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.