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Finding the Fourth Proportional to 420,846.45, 631,358.34 and 136,514.80

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Solution

The fourth proportional to 420,846.45, 631,358.34 and 136,514.80 is: 204,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,846.45 : 631,358.34 = 136,514.80 : x
  2. Step 2: Convert to fraction form
    420,846.45/631,358.34 = 136,514.80/x
  3. Step 3: Cross multiply
    420,846.45x = 631,358.34 × 136,514.80
  4. Step 4: Simplify right side
    420,846.45x = 86,189,757,513.43
  5. Step 5: Solve for x
    x = 86,189,757,513.43/420,846.45
  6. Step 6: Final answer
    x = 204,800.96

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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.