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Finding the Fourth Proportional to 269,357.81, 404,034.28 and 103,145.81

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Solution

The fourth proportional to 269,357.81, 404,034.28 and 103,145.81 is: 154,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,357.81 : 404,034.28 = 103,145.81 : x
  2. Step 2: Convert to fraction form
    269,357.81/404,034.28 = 103,145.81/x
  3. Step 3: Cross multiply
    269,357.81x = 404,034.28 × 103,145.81
  4. Step 4: Simplify right side
    269,357.81x = 41,674,440,800.33
  5. Step 5: Solve for x
    x = 41,674,440,800.33/269,357.81
  6. Step 6: Final answer
    x = 154,717.78

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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.