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Finding the Fourth Proportional to 218,564.40, 327,846.60 and 199,210.80

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Solution

The fourth proportional to 218,564.40, 327,846.60 and 199,210.80 is: 298,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,564.40 : 327,846.60 = 199,210.80 : x
  2. Step 2: Convert to fraction form
    218,564.40/327,846.60 = 199,210.80/x
  3. Step 3: Cross multiply
    218,564.40x = 327,846.60 × 199,210.80
  4. Step 4: Simplify right side
    218,564.40x = 65,310,583,463.28
  5. Step 5: Solve for x
    x = 65,310,583,463.28/218,564.40
  6. Step 6: Final answer
    x = 298,816.20

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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.