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Finding the Fourth Proportional to 378,393.57, 522,187.20 and 206,310.13

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Solution

The fourth proportional to 378,393.57, 522,187.20 and 206,310.13 is: 284,710.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,393.57 : 522,187.20 = 206,310.13 : x
  2. Step 2: Convert to fraction form
    378,393.57/522,187.20 = 206,310.13/x
  3. Step 3: Cross multiply
    378,393.57x = 522,187.20 × 206,310.13
  4. Step 4: Simplify right side
    378,393.57x = 107,732,507,810.87
  5. Step 5: Solve for x
    x = 107,732,507,810.87/378,393.57
  6. Step 6: Final answer
    x = 284,710.20

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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.