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Finding the Fourth Proportional to 270,983.20, 405,697.20 and 263,207.20

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Solution

The fourth proportional to 270,983.20, 405,697.20 and 263,207.20 is: 394,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,983.20 : 405,697.20 = 263,207.20 : x
  2. Step 2: Convert to fraction form
    270,983.20/405,697.20 = 263,207.20/x
  3. Step 3: Cross multiply
    270,983.20x = 405,697.20 × 263,207.20
  4. Step 4: Simplify right side
    270,983.20x = 106,782,424,059.84
  5. Step 5: Solve for x
    x = 106,782,424,059.84/270,983.20
  6. Step 6: Final answer
    x = 394,055.51

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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.