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Finding the Fourth Proportional to 288,680.64, 398,346.72 and 161,352

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Solution

The fourth proportional to 288,680.64, 398,346.72 and 161,352 is: 222,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,680.64 : 398,346.72 = 161,352 : x
  2. Step 2: Convert to fraction form
    288,680.64/398,346.72 = 161,352/x
  3. Step 3: Cross multiply
    288,680.64x = 398,346.72 × 161,352
  4. Step 4: Simplify right side
    288,680.64x = 64,274,039,965.44
  5. Step 5: Solve for x
    x = 64,274,039,965.44/288,680.64
  6. Step 6: Final answer
    x = 222,647.56

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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.