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Finding the Fourth Proportional to 288,613.90, 398,286 and 161,289.46

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Solution

The fourth proportional to 288,613.90, 398,286 and 161,289.46 is: 222,578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,613.90 : 398,286 = 161,289.46 : x
  2. Step 2: Convert to fraction form
    288,613.90/398,286 = 161,289.46/x
  3. Step 3: Cross multiply
    288,613.90x = 398,286 × 161,289.46
  4. Step 4: Simplify right side
    288,613.90x = 64,239,333,865.56
  5. Step 5: Solve for x
    x = 64,239,333,865.56/288,613.90
  6. Step 6: Final answer
    x = 222,578.79

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1.5x scale

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.