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Finding the Fourth Proportional to 290,614.62, 435,921.24 and 80,251.94

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Solution

The fourth proportional to 290,614.62, 435,921.24 and 80,251.94 is: 120,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,614.62 : 435,921.24 = 80,251.94 : x
  2. Step 2: Convert to fraction form
    290,614.62/435,921.24 = 80,251.94/x
  3. Step 3: Cross multiply
    290,614.62x = 435,921.24 × 80,251.94
  4. Step 4: Simplify right side
    290,614.62x = 34,983,525,197.21
  5. Step 5: Solve for x
    x = 34,983,525,197.21/290,614.62
  6. Step 6: Final answer
    x = 120,377.72

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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.