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Finding the Fourth Proportional to 403,723.80, 605,439.90 and 203,977.80

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Solution

The fourth proportional to 403,723.80, 605,439.90 and 203,977.80 is: 305,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,723.80 : 605,439.90 = 203,977.80 : x
  2. Step 2: Convert to fraction form
    403,723.80/605,439.90 = 203,977.80/x
  3. Step 3: Cross multiply
    403,723.80x = 605,439.90 × 203,977.80
  4. Step 4: Simplify right side
    403,723.80x = 123,496,298,834.22
  5. Step 5: Solve for x
    x = 123,496,298,834.22/403,723.80
  6. Step 6: Final answer
    x = 305,893.04

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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.