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Finding the Fourth Proportional to 422,578.07, 582,898.64 and 345,166.22

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Solution

The fourth proportional to 422,578.07, 582,898.64 and 345,166.22 is: 476,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,578.07 : 582,898.64 = 345,166.22 : x
  2. Step 2: Convert to fraction form
    422,578.07/582,898.64 = 345,166.22/x
  3. Step 3: Cross multiply
    422,578.07x = 582,898.64 × 345,166.22
  4. Step 4: Simplify right side
    422,578.07x = 201,196,915,571.62
  5. Step 5: Solve for x
    x = 201,196,915,571.62/422,578.07
  6. Step 6: Final answer
    x = 476,117.75

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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.