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Finding the Fourth Proportional to 330,747.60, 496,121.40 and 197,559.30

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Solution

The fourth proportional to 330,747.60, 496,121.40 and 197,559.30 is: 296,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,747.60 : 496,121.40 = 197,559.30 : x
  2. Step 2: Convert to fraction form
    330,747.60/496,121.40 = 197,559.30/x
  3. Step 3: Cross multiply
    330,747.60x = 496,121.40 × 197,559.30
  4. Step 4: Simplify right side
    330,747.60x = 98,013,396,499.02
  5. Step 5: Solve for x
    x = 98,013,396,499.02/330,747.60
  6. Step 6: Final answer
    x = 296,338.95

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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.