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Finding the Fourth Proportional to 289,371.20, 433,711.20 and 120,891.20

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Solution

The fourth proportional to 289,371.20, 433,711.20 and 120,891.20 is: 181,192.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,371.20 : 433,711.20 = 120,891.20 : x
  2. Step 2: Convert to fraction form
    289,371.20/433,711.20 = 120,891.20/x
  3. Step 3: Cross multiply
    289,371.20x = 433,711.20 × 120,891.20
  4. Step 4: Simplify right side
    289,371.20x = 52,431,867,421.44
  5. Step 5: Solve for x
    x = 52,431,867,421.44/289,371.20
  6. Step 6: Final answer
    x = 181,192.42

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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.