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Finding the Fourth Proportional to 388,355.46, 582,338.39 and 226,302

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Solution

The fourth proportional to 388,355.46, 582,338.39 and 226,302 is: 339,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,355.46 : 582,338.39 = 226,302 : x
  2. Step 2: Convert to fraction form
    388,355.46/582,338.39 = 226,302/x
  3. Step 3: Cross multiply
    388,355.46x = 582,338.39 × 226,302
  4. Step 4: Simplify right side
    388,355.46x = 131,784,341,202.27
  5. Step 5: Solve for x
    x = 131,784,341,202.27/388,355.46
  6. Step 6: Final answer
    x = 339,339.48

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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.