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Finding the Fourth Proportional to 217,693.60, 326,194.80 and 161,706.40

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Solution

The fourth proportional to 217,693.60, 326,194.80 and 161,706.40 is: 242,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,693.60 : 326,194.80 = 161,706.40 : x
  2. Step 2: Convert to fraction form
    217,693.60/326,194.80 = 161,706.40/x
  3. Step 3: Cross multiply
    217,693.60x = 326,194.80 × 161,706.40
  4. Step 4: Simplify right side
    217,693.60x = 52,747,786,806.72
  5. Step 5: Solve for x
    x = 52,747,786,806.72/217,693.60
  6. Step 6: Final answer
    x = 242,302.88

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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.