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Finding the Fourth Proportional to 288,520.84, 398,151.30 and 161,197.30

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Solution

The fourth proportional to 288,520.84, 398,151.30 and 161,197.30 is: 222,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,520.84 : 398,151.30 = 161,197.30 : x
  2. Step 2: Convert to fraction form
    288,520.84/398,151.30 = 161,197.30/x
  3. Step 3: Cross multiply
    288,520.84x = 398,151.30 × 161,197.30
  4. Step 4: Simplify right side
    288,520.84x = 64,180,914,551.49
  5. Step 5: Solve for x
    x = 64,180,914,551.49/288,520.84
  6. Step 6: Final answer
    x = 222,448.11

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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.