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Finding the Fourth Proportional to 288,694.20, 398,400.30 and 161,375.16

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Solution

The fourth proportional to 288,694.20, 398,400.30 and 161,375.16 is: 222,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,694.20 : 398,400.30 = 161,375.16 : x
  2. Step 2: Convert to fraction form
    288,694.20/398,400.30 = 161,375.16/x
  3. Step 3: Cross multiply
    288,694.20x = 398,400.30 × 161,375.16
  4. Step 4: Simplify right side
    288,694.20x = 64,291,912,156.55
  5. Step 5: Solve for x
    x = 64,291,912,156.55/288,694.20
  6. Step 6: Final answer
    x = 222,699.01

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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.