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Finding the Fourth Proportional to 288,558.08, 398,209.30 and 161,233.77

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Solution

The fourth proportional to 288,558.08, 398,209.30 and 161,233.77 is: 222,502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,558.08 : 398,209.30 = 161,233.77 : x
  2. Step 2: Convert to fraction form
    288,558.08/398,209.30 = 161,233.77/x
  3. Step 3: Cross multiply
    288,558.08x = 398,209.30 × 161,233.77
  4. Step 4: Simplify right side
    288,558.08x = 64,204,787,778.26
  5. Step 5: Solve for x
    x = 64,204,787,778.26/288,558.08
  6. Step 6: Final answer
    x = 222,502.13

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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.