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Finding the Fourth Proportional to 378,901.94, 568,447.07 and 112,662.05

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Solution

The fourth proportional to 378,901.94, 568,447.07 and 112,662.05 is: 169,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,901.94 : 568,447.07 = 112,662.05 : x
  2. Step 2: Convert to fraction form
    378,901.94/568,447.07 = 112,662.05/x
  3. Step 3: Cross multiply
    378,901.94x = 568,447.07 × 112,662.05
  4. Step 4: Simplify right side
    378,901.94x = 64,042,408,817.15
  5. Step 5: Solve for x
    x = 64,042,408,817.15/378,901.94
  6. Step 6: Final answer
    x = 169,021.07

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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.