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Finding the Fourth Proportional to 378,888.32, 522,857.90 and 206,800.58

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Solution

The fourth proportional to 378,888.32, 522,857.90 and 206,800.58 is: 285,380.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,888.32 : 522,857.90 = 206,800.58 : x
  2. Step 2: Convert to fraction form
    378,888.32/522,857.90 = 206,800.58/x
  3. Step 3: Cross multiply
    378,888.32x = 522,857.90 × 206,800.58
  4. Step 4: Simplify right side
    378,888.32x = 108,127,315,943.58
  5. Step 5: Solve for x
    x = 108,127,315,943.58/378,888.32
  6. Step 6: Final answer
    x = 285,380.44

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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.