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Finding the Fourth Proportional to 330,835.80, 496,253.70 and 206,419.80

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Solution

The fourth proportional to 330,835.80, 496,253.70 and 206,419.80 is: 309,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,835.80 : 496,253.70 = 206,419.80 : x
  2. Step 2: Convert to fraction form
    330,835.80/496,253.70 = 206,419.80/x
  3. Step 3: Cross multiply
    330,835.80x = 496,253.70 × 206,419.80
  4. Step 4: Simplify right side
    330,835.80x = 102,436,589,503.26
  5. Step 5: Solve for x
    x = 102,436,589,503.26/330,835.80
  6. Step 6: Final answer
    x = 309,629.70

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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.