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Finding the Fourth Proportional to 288,983.92, 398,838 and 161,668.12

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Solution

The fourth proportional to 288,983.92, 398,838 and 161,668.12 is: 223,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,983.92 : 398,838 = 161,668.12 : x
  2. Step 2: Convert to fraction form
    288,983.92/398,838 = 161,668.12/x
  3. Step 3: Cross multiply
    288,983.92x = 398,838 × 161,668.12
  4. Step 4: Simplify right side
    288,983.92x = 64,479,389,644.56
  5. Step 5: Solve for x
    x = 64,479,389,644.56/288,983.92
  6. Step 6: Final answer
    x = 223,124.49

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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.