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Finding the Fourth Proportional to 307,249.63, 423,764.12 and 199,853.96

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Solution

The fourth proportional to 307,249.63, 423,764.12 and 199,853.96 is: 275,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,249.63 : 423,764.12 = 199,853.96 : x
  2. Step 2: Convert to fraction form
    307,249.63/423,764.12 = 199,853.96/x
  3. Step 3: Cross multiply
    307,249.63x = 423,764.12 × 199,853.96
  4. Step 4: Simplify right side
    307,249.63x = 84,690,935,868.73
  5. Step 5: Solve for x
    x = 84,690,935,868.73/307,249.63
  6. Step 6: Final answer
    x = 275,642.11

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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.