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Finding the Fourth Proportional to 288,575.84, 398,227.02 and 161,252.48

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Solution

The fourth proportional to 288,575.84, 398,227.02 and 161,252.48 is: 222,524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,575.84 : 398,227.02 = 161,252.48 : x
  2. Step 2: Convert to fraction form
    288,575.84/398,227.02 = 161,252.48/x
  3. Step 3: Cross multiply
    288,575.84x = 398,227.02 × 161,252.48
  4. Step 4: Simplify right side
    288,575.84x = 64,215,094,578.01
  5. Step 5: Solve for x
    x = 64,215,094,578.01/288,575.84
  6. Step 6: Final answer
    x = 222,524.15

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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.