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Finding the Fourth Proportional to 288,557.25, 398,201.58 and 161,233.89

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Solution

The fourth proportional to 288,557.25, 398,201.58 and 161,233.89 is: 222,498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,557.25 : 398,201.58 = 161,233.89 : x
  2. Step 2: Convert to fraction form
    288,557.25/398,201.58 = 161,233.89/x
  3. Step 3: Cross multiply
    288,557.25x = 398,201.58 × 161,233.89
  4. Step 4: Simplify right side
    288,557.25x = 64,203,589,747.55
  5. Step 5: Solve for x
    x = 64,203,589,747.55/288,557.25
  6. Step 6: Final answer
    x = 222,498.62

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1.5x scale

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.