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Finding the Fourth Proportional to 218,628.40, 327,942.60 and 100,530.40

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Solution

The fourth proportional to 218,628.40, 327,942.60 and 100,530.40 is: 150,795.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,628.40 : 327,942.60 = 100,530.40 : x
  2. Step 2: Convert to fraction form
    218,628.40/327,942.60 = 100,530.40/x
  3. Step 3: Cross multiply
    218,628.40x = 327,942.60 × 100,530.40
  4. Step 4: Simplify right side
    218,628.40x = 32,968,200,755.04
  5. Step 5: Solve for x
    x = 32,968,200,755.04/218,628.40
  6. Step 6: Final answer
    x = 150,795.60

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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.