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Finding the Fourth Proportional to 269,114.70, 403,672.05 and 206,129.10

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Solution

The fourth proportional to 269,114.70, 403,672.05 and 206,129.10 is: 309,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,114.70 : 403,672.05 = 206,129.10 : x
  2. Step 2: Convert to fraction form
    269,114.70/403,672.05 = 206,129.10/x
  3. Step 3: Cross multiply
    269,114.70x = 403,672.05 × 206,129.10
  4. Step 4: Simplify right side
    269,114.70x = 83,208,556,361.66
  5. Step 5: Solve for x
    x = 83,208,556,361.66/269,114.70
  6. Step 6: Final answer
    x = 309,193.65

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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.