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Finding the Fourth Proportional to 800,299.20, 1,200,038.40 and 239,260.80

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Solution

The fourth proportional to 800,299.20, 1,200,038.40 and 239,260.80 is: 358,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,299.20 : 1,200,038.40 = 239,260.80 : x
  2. Step 2: Convert to fraction form
    800,299.20/1,200,038.40 = 239,260.80/x
  3. Step 3: Cross multiply
    800,299.20x = 1,200,038.40 × 239,260.80
  4. Step 4: Simplify right side
    800,299.20x = 287,122,147,614.72
  5. Step 5: Solve for x
    x = 287,122,147,614.72/800,299.20
  6. Step 6: Final answer
    x = 358,768.51

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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.