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Finding the Fourth Proportional to 270,694.16, 405,812.82 and 170,633.78

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Solution

The fourth proportional to 270,694.16, 405,812.82 and 170,633.78 is: 255,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,694.16 : 405,812.82 = 170,633.78 : x
  2. Step 2: Convert to fraction form
    270,694.16/405,812.82 = 170,633.78/x
  3. Step 3: Cross multiply
    270,694.16x = 405,812.82 × 170,633.78
  4. Step 4: Simplify right side
    270,694.16x = 69,245,376,463.59
  5. Step 5: Solve for x
    x = 69,245,376,463.59/270,694.16
  6. Step 6: Final answer
    x = 255,806.69

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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.