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Finding the Fourth Proportional to 289,171.80, 433,125.96 and 120,179.76

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Solution

The fourth proportional to 289,171.80, 433,125.96 and 120,179.76 is: 180,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,171.80 : 433,125.96 = 120,179.76 : x
  2. Step 2: Convert to fraction form
    289,171.80/433,125.96 = 120,179.76/x
  3. Step 3: Cross multiply
    289,171.80x = 433,125.96 × 120,179.76
  4. Step 4: Simplify right side
    289,171.80x = 52,052,973,922.57
  5. Step 5: Solve for x
    x = 52,052,973,922.57/289,171.80
  6. Step 6: Final answer
    x = 180,007.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.