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Finding the Fourth Proportional to 298,505.60, 447,758.40 and 204,027.20

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Solution

The fourth proportional to 298,505.60, 447,758.40 and 204,027.20 is: 306,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,505.60 : 447,758.40 = 204,027.20 : x
  2. Step 2: Convert to fraction form
    298,505.60/447,758.40 = 204,027.20/x
  3. Step 3: Cross multiply
    298,505.60x = 447,758.40 × 204,027.20
  4. Step 4: Simplify right side
    298,505.60x = 91,354,892,628.48
  5. Step 5: Solve for x
    x = 91,354,892,628.48/298,505.60
  6. Step 6: Final answer
    x = 306,040.80

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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.