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Finding the Fourth Proportional to 378,322.58, 522,069.18 and 206,236.82

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Solution

The fourth proportional to 378,322.58, 522,069.18 and 206,236.82 is: 284,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,322.58 : 522,069.18 = 206,236.82 : x
  2. Step 2: Convert to fraction form
    378,322.58/522,069.18 = 206,236.82/x
  3. Step 3: Cross multiply
    378,322.58x = 522,069.18 × 206,236.82
  4. Step 4: Simplify right side
    378,322.58x = 107,669,887,503.21
  5. Step 5: Solve for x
    x = 107,669,887,503.21/378,322.58
  6. Step 6: Final answer
    x = 284,598.10

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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.