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Finding the Fourth Proportional to 403,285.80, 605,366.10 and 226,138.80

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Solution

The fourth proportional to 403,285.80, 605,366.10 and 226,138.80 is: 339,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,285.80 : 605,366.10 = 226,138.80 : x
  2. Step 2: Convert to fraction form
    403,285.80/605,366.10 = 226,138.80/x
  3. Step 3: Cross multiply
    403,285.80x = 605,366.10 × 226,138.80
  4. Step 4: Simplify right side
    403,285.80x = 136,896,763,414.68
  5. Step 5: Solve for x
    x = 136,896,763,414.68/403,285.80
  6. Step 6: Final answer
    x = 339,453.47

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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.