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Finding the Fourth Proportional to 403,642.80, 605,464.20 and 166,906.80

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Solution

The fourth proportional to 403,642.80, 605,464.20 and 166,906.80 is: 250,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,642.80 : 605,464.20 = 166,906.80 : x
  2. Step 2: Convert to fraction form
    403,642.80/605,464.20 = 166,906.80/x
  3. Step 3: Cross multiply
    403,642.80x = 605,464.20 × 166,906.80
  4. Step 4: Simplify right side
    403,642.80x = 101,056,092,136.56
  5. Step 5: Solve for x
    x = 101,056,092,136.56/403,642.80
  6. Step 6: Final answer
    x = 250,360.20

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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.