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Finding the Fourth Proportional to 215,310.40, 322,965.60 and 205,633.60

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Solution

The fourth proportional to 215,310.40, 322,965.60 and 205,633.60 is: 308,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,310.40 : 322,965.60 = 205,633.60 : x
  2. Step 2: Convert to fraction form
    215,310.40/322,965.60 = 205,633.60/x
  3. Step 3: Cross multiply
    215,310.40x = 322,965.60 × 205,633.60
  4. Step 4: Simplify right side
    215,310.40x = 66,412,579,004.16
  5. Step 5: Solve for x
    x = 66,412,579,004.16/215,310.40
  6. Step 6: Final answer
    x = 308,450.40

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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.