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Finding the Fourth Proportional to 288,616.43, 398,246.06 and 161,267.42

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Solution

The fourth proportional to 288,616.43, 398,246.06 and 161,267.42 is: 222,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,616.43 : 398,246.06 = 161,267.42 : x
  2. Step 2: Convert to fraction form
    288,616.43/398,246.06 = 161,267.42/x
  3. Step 3: Cross multiply
    288,616.43x = 398,246.06 × 161,267.42
  4. Step 4: Simplify right side
    288,616.43x = 64,224,111,823.80
  5. Step 5: Solve for x
    x = 64,224,111,823.80/288,616.43
  6. Step 6: Final answer
    x = 222,524.11

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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.