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Finding the Fourth Proportional to 403,305.96, 605,333.16 and 203,766.52

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Solution

The fourth proportional to 403,305.96, 605,333.16 and 203,766.52 is: 305,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,305.96 : 605,333.16 = 203,766.52 : x
  2. Step 2: Convert to fraction form
    403,305.96/605,333.16 = 203,766.52/x
  3. Step 3: Cross multiply
    403,305.96x = 605,333.16 × 203,766.52
  4. Step 4: Simplify right side
    403,305.96x = 123,346,631,453.80
  5. Step 5: Solve for x
    x = 123,346,631,453.80/403,305.96
  6. Step 6: Final answer
    x = 305,838.85

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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.