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Finding the Fourth Proportional to 289,032.92, 398,872.51 and 161,716.76

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Solution

The fourth proportional to 289,032.92, 398,872.51 and 161,716.76 is: 223,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,032.92 : 398,872.51 = 161,716.76 : x
  2. Step 2: Convert to fraction form
    289,032.92/398,872.51 = 161,716.76/x
  3. Step 3: Cross multiply
    289,032.92x = 398,872.51 × 161,716.76
  4. Step 4: Simplify right side
    289,032.92x = 64,504,367,975.91
  5. Step 5: Solve for x
    x = 64,504,367,975.91/289,032.92
  6. Step 6: Final answer
    x = 223,173.09

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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.