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Finding the Fourth Proportional to 288,957.54, 398,752.56 and 161,633.64

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Solution

The fourth proportional to 288,957.54, 398,752.56 and 161,633.64 is: 223,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,957.54 : 398,752.56 = 161,633.64 : x
  2. Step 2: Convert to fraction form
    288,957.54/398,752.56 = 161,633.64/x
  3. Step 3: Cross multiply
    288,957.54x = 398,752.56 × 161,633.64
  4. Step 4: Simplify right side
    288,957.54x = 64,451,827,732.12
  5. Step 5: Solve for x
    x = 64,451,827,732.12/288,957.54
  6. Step 6: Final answer
    x = 223,049.48

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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.