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Finding the Fourth Proportional to 217,709.60, 326,564.40 and 161,722.40

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Solution

The fourth proportional to 217,709.60, 326,564.40 and 161,722.40 is: 242,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,709.60 : 326,564.40 = 161,722.40 : x
  2. Step 2: Convert to fraction form
    217,709.60/326,564.40 = 161,722.40/x
  3. Step 3: Cross multiply
    217,709.60x = 326,564.40 × 161,722.40
  4. Step 4: Simplify right side
    217,709.60x = 52,812,778,522.56
  5. Step 5: Solve for x
    x = 52,812,778,522.56/217,709.60
  6. Step 6: Final answer
    x = 242,583.60

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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.