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Finding the Fourth Proportional to 378,393.50, 522,187.10 and 206,310.06

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Solution

The fourth proportional to 378,393.50, 522,187.10 and 206,310.06 is: 284,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,393.50 : 522,187.10 = 206,310.06 : x
  2. Step 2: Convert to fraction form
    378,393.50/522,187.10 = 206,310.06/x
  3. Step 3: Cross multiply
    378,393.50x = 522,187.10 × 206,310.06
  4. Step 4: Simplify right side
    378,393.50x = 107,732,450,102.97
  5. Step 5: Solve for x
    x = 107,732,450,102.97/378,393.50
  6. Step 6: Final answer
    x = 284,710.10

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1.5x scale

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.