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Finding the Fourth Proportional to 289,103.32, 398,979.30 and 161,777.80

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Solution

The fourth proportional to 289,103.32, 398,979.30 and 161,777.80 is: 223,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,103.32 : 398,979.30 = 161,777.80 : x
  2. Step 2: Convert to fraction form
    289,103.32/398,979.30 = 161,777.80/x
  3. Step 3: Cross multiply
    289,103.32x = 398,979.30 × 161,777.80
  4. Step 4: Simplify right side
    289,103.32x = 64,545,993,399.54
  5. Step 5: Solve for x
    x = 64,545,993,399.54/289,103.32
  6. Step 6: Final answer
    x = 223,262.72

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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.