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Finding the Fourth Proportional to 288,716.88, 398,427.96 and 161,391.60

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Solution

The fourth proportional to 288,716.88, 398,427.96 and 161,391.60 is: 222,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,716.88 : 398,427.96 = 161,391.60 : x
  2. Step 2: Convert to fraction form
    288,716.88/398,427.96 = 161,391.60/x
  3. Step 3: Cross multiply
    288,716.88x = 398,427.96 × 161,391.60
  4. Step 4: Simplify right side
    288,716.88x = 64,302,925,949.14
  5. Step 5: Solve for x
    x = 64,302,925,949.14/288,716.88
  6. Step 6: Final answer
    x = 222,719.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.