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Finding the Fourth Proportional to 378,325.37, 522,094.80 and 206,243.43

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Solution

The fourth proportional to 378,325.37, 522,094.80 and 206,243.43 is: 284,619.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,325.37 : 522,094.80 = 206,243.43 : x
  2. Step 2: Convert to fraction form
    378,325.37/522,094.80 = 206,243.43/x
  3. Step 3: Cross multiply
    378,325.37x = 522,094.80 × 206,243.43
  4. Step 4: Simplify right side
    378,325.37x = 107,678,622,337.16
  5. Step 5: Solve for x
    x = 107,678,622,337.16/378,325.37
  6. Step 6: Final answer
    x = 284,619.09

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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.