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Finding the Fourth Proportional to 331,311.40, 496,967.10 and 242,081.80

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Solution

The fourth proportional to 331,311.40, 496,967.10 and 242,081.80 is: 363,122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,311.40 : 496,967.10 = 242,081.80 : x
  2. Step 2: Convert to fraction form
    331,311.40/496,967.10 = 242,081.80/x
  3. Step 3: Cross multiply
    331,311.40x = 496,967.10 × 242,081.80
  4. Step 4: Simplify right side
    331,311.40x = 120,306,690,108.78
  5. Step 5: Solve for x
    x = 120,306,690,108.78/331,311.40
  6. Step 6: Final answer
    x = 363,122.70

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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.