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Finding the Fourth Proportional to 269,516.20, 403,934.10 and 136,433.20

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Solution

The fourth proportional to 269,516.20, 403,934.10 and 136,433.20 is: 204,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,516.20 : 403,934.10 = 136,433.20 : x
  2. Step 2: Convert to fraction form
    269,516.20/403,934.10 = 136,433.20/x
  3. Step 3: Cross multiply
    269,516.20x = 403,934.10 × 136,433.20
  4. Step 4: Simplify right side
    269,516.20x = 55,110,021,852.12
  5. Step 5: Solve for x
    x = 55,110,021,852.12/269,516.20
  6. Step 6: Final answer
    x = 204,477.59

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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.