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Finding the Fourth Proportional to 400,027.20, 600,040.80 and 133,828.80

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Solution

The fourth proportional to 400,027.20, 600,040.80 and 133,828.80 is: 200,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,027.20 : 600,040.80 = 133,828.80 : x
  2. Step 2: Convert to fraction form
    400,027.20/600,040.80 = 133,828.80/x
  3. Step 3: Cross multiply
    400,027.20x = 600,040.80 × 133,828.80
  4. Step 4: Simplify right side
    400,027.20x = 80,302,740,215.04
  5. Step 5: Solve for x
    x = 80,302,740,215.04/400,027.20
  6. Step 6: Final answer
    x = 200,743.20

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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.