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Finding the Fourth Proportional to 209,002.25, 313,404.50 and 80,978.46

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Solution

The fourth proportional to 209,002.25, 313,404.50 and 80,978.46 is: 121,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,002.25 : 313,404.50 = 80,978.46 : x
  2. Step 2: Convert to fraction form
    209,002.25/313,404.50 = 80,978.46/x
  3. Step 3: Cross multiply
    209,002.25x = 313,404.50 × 80,978.46
  4. Step 4: Simplify right side
    209,002.25x = 25,379,013,789.58
  5. Step 5: Solve for x
    x = 25,379,013,789.58/209,002.25
  6. Step 6: Final answer
    x = 121,429.38

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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.