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Finding the Fourth Proportional to 298,285.20, 447,427.44 and 204,506.64

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Solution

The fourth proportional to 298,285.20, 447,427.44 and 204,506.64 is: 306,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,285.20 : 447,427.44 = 204,506.64 : x
  2. Step 2: Convert to fraction form
    298,285.20/447,427.44 = 204,506.64/x
  3. Step 3: Cross multiply
    298,285.20x = 447,427.44 × 204,506.64
  4. Step 4: Simplify right side
    298,285.20x = 91,501,882,398.20
  5. Step 5: Solve for x
    x = 91,501,882,398.20/298,285.20
  6. Step 6: Final answer
    x = 306,759.71

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1.5x scale

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.