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Finding the Fourth Proportional to 218,258.40, 327,080.40 and 161,656.80

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Solution

The fourth proportional to 218,258.40, 327,080.40 and 161,656.80 is: 242,257.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,258.40 : 327,080.40 = 161,656.80 : x
  2. Step 2: Convert to fraction form
    218,258.40/327,080.40 = 161,656.80/x
  3. Step 3: Cross multiply
    218,258.40x = 327,080.40 × 161,656.80
  4. Step 4: Simplify right side
    218,258.40x = 52,874,770,806.72
  5. Step 5: Solve for x
    x = 52,874,770,806.72/218,258.40
  6. Step 6: Final answer
    x = 242,257.67

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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.