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Finding the Fourth Proportional to 378,770.37, 568,233.31 and 112,507.17

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Solution

The fourth proportional to 378,770.37, 568,233.31 and 112,507.17 is: 168,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,770.37 : 568,233.31 = 112,507.17 : x
  2. Step 2: Convert to fraction form
    378,770.37/568,233.31 = 112,507.17/x
  3. Step 3: Cross multiply
    378,770.37x = 568,233.31 × 112,507.17
  4. Step 4: Simplify right side
    378,770.37x = 63,930,321,607.83
  5. Step 5: Solve for x
    x = 63,930,321,607.83/378,770.37
  6. Step 6: Final answer
    x = 168,783.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.