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Finding the Fourth Proportional to 269,538.60, 404,405.10 and 111,815.40

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Solution

The fourth proportional to 269,538.60, 404,405.10 and 111,815.40 is: 167,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,538.60 : 404,405.10 = 111,815.40 : x
  2. Step 2: Convert to fraction form
    269,538.60/404,405.10 = 111,815.40/x
  3. Step 3: Cross multiply
    269,538.60x = 404,405.10 × 111,815.40
  4. Step 4: Simplify right side
    269,538.60x = 45,218,718,018.54
  5. Step 5: Solve for x
    x = 45,218,718,018.54/269,538.60
  6. Step 6: Final answer
    x = 167,763.42

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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.