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Finding the Fourth Proportional to 420,525, 580,325.04 and 269,622

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Solution

The fourth proportional to 420,525, 580,325.04 and 269,622 is: 372,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,525 : 580,325.04 = 269,622 : x
  2. Step 2: Convert to fraction form
    420,525/580,325.04 = 269,622/x
  3. Step 3: Cross multiply
    420,525x = 580,325.04 × 269,622
  4. Step 4: Simplify right side
    420,525x = 156,468,397,934.88
  5. Step 5: Solve for x
    x = 156,468,397,934.88/420,525
  6. Step 6: Final answer
    x = 372,078.71

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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.