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Finding the Fourth Proportional to 217,071.60, 325,146.60 and 180,207.60

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Solution

The fourth proportional to 217,071.60, 325,146.60 and 180,207.60 is: 269,928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,071.60 : 325,146.60 = 180,207.60 : x
  2. Step 2: Convert to fraction form
    217,071.60/325,146.60 = 180,207.60/x
  3. Step 3: Cross multiply
    217,071.60x = 325,146.60 × 180,207.60
  4. Step 4: Simplify right side
    217,071.60x = 58,593,888,434.16
  5. Step 5: Solve for x
    x = 58,593,888,434.16/217,071.60
  6. Step 6: Final answer
    x = 269,928.85

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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.