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Finding the Fourth Proportional to 206,816.80, 310,455.60 and 113,504.80

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Solution

The fourth proportional to 206,816.80, 310,455.60 and 113,504.80 is: 170,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,816.80 : 310,455.60 = 113,504.80 : x
  2. Step 2: Convert to fraction form
    206,816.80/310,455.60 = 113,504.80/x
  3. Step 3: Cross multiply
    206,816.80x = 310,455.60 × 113,504.80
  4. Step 4: Simplify right side
    206,816.80x = 35,238,200,786.88
  5. Step 5: Solve for x
    x = 35,238,200,786.88/206,816.80
  6. Step 6: Final answer
    x = 170,383.65

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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.