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Finding the Fourth Proportional to 403,241.86, 556,469.36 and 221,949.90

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Solution

The fourth proportional to 403,241.86, 556,469.36 and 221,949.90 is: 306,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,241.86 : 556,469.36 = 221,949.90 : x
  2. Step 2: Convert to fraction form
    403,241.86/556,469.36 = 221,949.90/x
  3. Step 3: Cross multiply
    403,241.86x = 556,469.36 × 221,949.90
  4. Step 4: Simplify right side
    403,241.86x = 123,508,318,805.06
  5. Step 5: Solve for x
    x = 123,508,318,805.06/403,241.86
  6. Step 6: Final answer
    x = 306,288.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.