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Finding the Fourth Proportional to 269,015.20, 403,911.60 and 202,919.20

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Solution

The fourth proportional to 269,015.20, 403,911.60 and 202,919.20 is: 304,672.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,015.20 : 403,911.60 = 202,919.20 : x
  2. Step 2: Convert to fraction form
    269,015.20/403,911.60 = 202,919.20/x
  3. Step 3: Cross multiply
    269,015.20x = 403,911.60 × 202,919.20
  4. Step 4: Simplify right side
    269,015.20x = 81,961,418,742.72
  5. Step 5: Solve for x
    x = 81,961,418,742.72/269,015.20
  6. Step 6: Final answer
    x = 304,672.07

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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.