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Finding the Fourth Proportional to 421,791.78, 582,072.70 and 230,805.22

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Solution

The fourth proportional to 421,791.78, 582,072.70 and 230,805.22 is: 318,511.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,791.78 : 582,072.70 = 230,805.22 : x
  2. Step 2: Convert to fraction form
    421,791.78/582,072.70 = 230,805.22/x
  3. Step 3: Cross multiply
    421,791.78x = 582,072.70 × 230,805.22
  4. Step 4: Simplify right side
    421,791.78x = 134,345,417,579.49
  5. Step 5: Solve for x
    x = 134,345,417,579.49/421,791.78
  6. Step 6: Final answer
    x = 318,511.23

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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.