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Finding the Fourth Proportional to 289,171.46, 399,069.07 and 160,109.92

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Solution

The fourth proportional to 289,171.46, 399,069.07 and 160,109.92 is: 220,958.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,171.46 : 399,069.07 = 160,109.92 : x
  2. Step 2: Convert to fraction form
    289,171.46/399,069.07 = 160,109.92/x
  3. Step 3: Cross multiply
    289,171.46x = 399,069.07 × 160,109.92
  4. Step 4: Simplify right side
    289,171.46x = 63,894,916,872.17
  5. Step 5: Solve for x
    x = 63,894,916,872.17/289,171.46
  6. Step 6: Final answer
    x = 220,958.59

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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.