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Finding the Fourth Proportional to 217,659.64, 326,336.32 and 84,427.60

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Solution

The fourth proportional to 217,659.64, 326,336.32 and 84,427.60 is: 126,582.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,659.64 : 326,336.32 = 84,427.60 : x
  2. Step 2: Convert to fraction form
    217,659.64/326,336.32 = 84,427.60/x
  3. Step 3: Cross multiply
    217,659.64x = 326,336.32 × 84,427.60
  4. Step 4: Simplify right side
    217,659.64x = 27,551,792,290.43
  5. Step 5: Solve for x
    x = 27,551,792,290.43/217,659.64
  6. Step 6: Final answer
    x = 126,582.00

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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.