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Finding the Fourth Proportional to 378,325.43, 522,094.88 and 206,243.50

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Solution

The fourth proportional to 378,325.43, 522,094.88 and 206,243.50 is: 284,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,325.43 : 522,094.88 = 206,243.50 : x
  2. Step 2: Convert to fraction form
    378,325.43/522,094.88 = 206,243.50/x
  3. Step 3: Cross multiply
    378,325.43x = 522,094.88 × 206,243.50
  4. Step 4: Simplify right side
    378,325.43x = 107,678,672,772.81
  5. Step 5: Solve for x
    x = 107,678,672,772.81/378,325.43
  6. Step 6: Final answer
    x = 284,619.18

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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.