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Finding the Fourth Proportional to 208,816.20, 313,005.60 and 82,407.60

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Solution

The fourth proportional to 208,816.20, 313,005.60 and 82,407.60 is: 123,525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,816.20 : 313,005.60 = 82,407.60 : x
  2. Step 2: Convert to fraction form
    208,816.20/313,005.60 = 82,407.60/x
  3. Step 3: Cross multiply
    208,816.20x = 313,005.60 × 82,407.60
  4. Step 4: Simplify right side
    208,816.20x = 25,794,040,282.56
  5. Step 5: Solve for x
    x = 25,794,040,282.56/208,816.20
  6. Step 6: Final answer
    x = 123,525.09

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1.5x scale

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.