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Finding the Fourth Proportional to 288,990.86, 398,807.97 and 161,668.58

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Solution

The fourth proportional to 288,990.86, 398,807.97 and 161,668.58 is: 223,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,990.86 : 398,807.97 = 161,668.58 : x
  2. Step 2: Convert to fraction form
    288,990.86/398,807.97 = 161,668.58/x
  3. Step 3: Cross multiply
    288,990.86x = 398,807.97 × 161,668.58
  4. Step 4: Simplify right side
    288,990.86x = 64,474,718,202.58
  5. Step 5: Solve for x
    x = 64,474,718,202.58/288,990.86
  6. Step 6: Final answer
    x = 223,102.97

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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.