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Finding the Fourth Proportional to 288,548.40, 398,194.52 and 161,222.64

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Solution

The fourth proportional to 288,548.40, 398,194.52 and 161,222.64 is: 222,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,548.40 : 398,194.52 = 161,222.64 : x
  2. Step 2: Convert to fraction form
    288,548.40/398,194.52 = 161,222.64/x
  3. Step 3: Cross multiply
    288,548.40x = 398,194.52 × 161,222.64
  4. Step 4: Simplify right side
    288,548.40x = 64,197,971,747.93
  5. Step 5: Solve for x
    x = 64,197,971,747.93/288,548.40
  6. Step 6: Final answer
    x = 222,485.97

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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.