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Finding the Fourth Proportional to 218,659.80, 327,989.70 and 78,400.20

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Solution

The fourth proportional to 218,659.80, 327,989.70 and 78,400.20 is: 117,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,659.80 : 327,989.70 = 78,400.20 : x
  2. Step 2: Convert to fraction form
    218,659.80/327,989.70 = 78,400.20/x
  3. Step 3: Cross multiply
    218,659.80x = 327,989.70 × 78,400.20
  4. Step 4: Simplify right side
    218,659.80x = 25,714,458,077.94
  5. Step 5: Solve for x
    x = 25,714,458,077.94/218,659.80
  6. Step 6: Final answer
    x = 117,600.30

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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.