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Finding the Fourth Proportional to 216,469.32, 298,722.06 and 120,976.80

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Solution

The fourth proportional to 216,469.32, 298,722.06 and 120,976.80 is: 166,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,469.32 : 298,722.06 = 120,976.80 : x
  2. Step 2: Convert to fraction form
    216,469.32/298,722.06 = 120,976.80/x
  3. Step 3: Cross multiply
    216,469.32x = 298,722.06 × 120,976.80
  4. Step 4: Simplify right side
    216,469.32x = 36,138,438,908.21
  5. Step 5: Solve for x
    x = 36,138,438,908.21/216,469.32
  6. Step 6: Final answer
    x = 166,944.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.