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Finding the Fourth Proportional to 378,487.89, 522,311.73 and 206,405.40

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Solution

The fourth proportional to 378,487.89, 522,311.73 and 206,405.40 is: 284,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,487.89 : 522,311.73 = 206,405.40 : x
  2. Step 2: Convert to fraction form
    378,487.89/522,311.73 = 206,405.40/x
  3. Step 3: Cross multiply
    378,487.89x = 522,311.73 × 206,405.40
  4. Step 4: Simplify right side
    378,487.89x = 107,807,959,801.99
  5. Step 5: Solve for x
    x = 107,807,959,801.99/378,487.89
  6. Step 6: Final answer
    x = 284,838.60

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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.