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Finding the Fourth Proportional to 288,532.62, 398,162.22 and 161,205.48

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Solution

The fourth proportional to 288,532.62, 398,162.22 and 161,205.48 is: 222,456.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,532.62 : 398,162.22 = 161,205.48 : x
  2. Step 2: Convert to fraction form
    288,532.62/398,162.22 = 161,205.48/x
  3. Step 3: Cross multiply
    288,532.62x = 398,162.22 × 161,205.48
  4. Step 4: Simplify right side
    288,532.62x = 64,185,931,792.97
  5. Step 5: Solve for x
    x = 64,185,931,792.97/288,532.62
  6. Step 6: Final answer
    x = 222,456.41

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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.