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Finding the Fourth Proportional to 218,047.40, 327,071.10 and 204,914.60

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Solution

The fourth proportional to 218,047.40, 327,071.10 and 204,914.60 is: 307,371.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,047.40 : 327,071.10 = 204,914.60 : x
  2. Step 2: Convert to fraction form
    218,047.40/327,071.10 = 204,914.60/x
  3. Step 3: Cross multiply
    218,047.40x = 327,071.10 × 204,914.60
  4. Step 4: Simplify right side
    218,047.40x = 67,021,643,628.06
  5. Step 5: Solve for x
    x = 67,021,643,628.06/218,047.40
  6. Step 6: Final answer
    x = 307,371.90

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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.