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Finding the Fourth Proportional to 208,817.20, 313,007.10 and 82,408.60

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Solution

The fourth proportional to 208,817.20, 313,007.10 and 82,408.60 is: 123,526.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,817.20 : 313,007.10 = 82,408.60 : x
  2. Step 2: Convert to fraction form
    208,817.20/313,007.10 = 82,408.60/x
  3. Step 3: Cross multiply
    208,817.20x = 313,007.10 × 82,408.60
  4. Step 4: Simplify right side
    208,817.20x = 25,794,476,901.06
  5. Step 5: Solve for x
    x = 25,794,476,901.06/208,817.20
  6. Step 6: Final answer
    x = 123,526.59

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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.