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Finding the Fourth Proportional to 268,997.80, 403,464.30 and 111,209.80

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Solution

The fourth proportional to 268,997.80, 403,464.30 and 111,209.80 is: 166,801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,997.80 : 403,464.30 = 111,209.80 : x
  2. Step 2: Convert to fraction form
    268,997.80/403,464.30 = 111,209.80/x
  3. Step 3: Cross multiply
    268,997.80x = 403,464.30 × 111,209.80
  4. Step 4: Simplify right side
    268,997.80x = 44,869,184,110.14
  5. Step 5: Solve for x
    x = 44,869,184,110.14/268,997.80
  6. Step 6: Final answer
    x = 166,801.31

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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.