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Finding the Fourth Proportional to 288,618.42, 398,286.80 and 161,305.86

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Solution

The fourth proportional to 288,618.42, 398,286.80 and 161,305.86 is: 222,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,618.42 : 398,286.80 = 161,305.86 : x
  2. Step 2: Convert to fraction form
    288,618.42/398,286.80 = 161,305.86/x
  3. Step 3: Cross multiply
    288,618.42x = 398,286.80 × 161,305.86
  4. Step 4: Simplify right side
    288,618.42x = 64,245,994,800.65
  5. Step 5: Solve for x
    x = 64,245,994,800.65/288,618.42
  6. Step 6: Final answer
    x = 222,598.39

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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.