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Finding the Fourth Proportional to 420,310.44, 629,809.56 and 242,901

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Solution

The fourth proportional to 420,310.44, 629,809.56 and 242,901 is: 363,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,310.44 : 629,809.56 = 242,901 : x
  2. Step 2: Convert to fraction form
    420,310.44/629,809.56 = 242,901/x
  3. Step 3: Cross multiply
    420,310.44x = 629,809.56 × 242,901
  4. Step 4: Simplify right side
    420,310.44x = 152,981,371,933.56
  5. Step 5: Solve for x
    x = 152,981,371,933.56/420,310.44
  6. Step 6: Final answer
    x = 363,972.33

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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.