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Finding the Fourth Proportional to 403,728.80, 605,884.80 and 226,047.20

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Solution

The fourth proportional to 403,728.80, 605,884.80 and 226,047.20 is: 339,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,728.80 : 605,884.80 = 226,047.20 : x
  2. Step 2: Convert to fraction form
    403,728.80/605,884.80 = 226,047.20/x
  3. Step 3: Cross multiply
    403,728.80x = 605,884.80 × 226,047.20
  4. Step 4: Simplify right side
    403,728.80x = 136,958,562,562.56
  5. Step 5: Solve for x
    x = 136,958,562,562.56/403,728.80
  6. Step 6: Final answer
    x = 339,234.07

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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.