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Finding the Fourth Proportional to 331,495.20, 496,951.20 and 198,428.40

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Solution

The fourth proportional to 331,495.20, 496,951.20 and 198,428.40 is: 297,468.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,495.20 : 496,951.20 = 198,428.40 : x
  2. Step 2: Convert to fraction form
    331,495.20/496,951.20 = 198,428.40/x
  3. Step 3: Cross multiply
    331,495.20x = 496,951.20 × 198,428.40
  4. Step 4: Simplify right side
    331,495.20x = 98,609,231,494.08
  5. Step 5: Solve for x
    x = 98,609,231,494.08/331,495.20
  6. Step 6: Final answer
    x = 297,468.05

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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.