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Finding the Fourth Proportional to 288,512.75, 398,140.26 and 161,189.30

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Solution

The fourth proportional to 288,512.75, 398,140.26 and 161,189.30 is: 222,437.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,512.75 : 398,140.26 = 161,189.30 : x
  2. Step 2: Convert to fraction form
    288,512.75/398,140.26 = 161,189.30/x
  3. Step 3: Cross multiply
    288,512.75x = 398,140.26 × 161,189.30
  4. Step 4: Simplify right side
    288,512.75x = 64,175,949,811.22
  5. Step 5: Solve for x
    x = 64,175,949,811.22/288,512.75
  6. Step 6: Final answer
    x = 222,437.14

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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.