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Finding the Fourth Proportional to 419,409.34, 629,118.12 and 119,887.85

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Solution

The fourth proportional to 419,409.34, 629,118.12 and 119,887.85 is: 179,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,409.34 : 629,118.12 = 119,887.85 : x
  2. Step 2: Convert to fraction form
    419,409.34/629,118.12 = 119,887.85/x
  3. Step 3: Cross multiply
    419,409.34x = 629,118.12 × 119,887.85
  4. Step 4: Simplify right side
    419,409.34x = 75,423,616,274.87
  5. Step 5: Solve for x
    x = 75,423,616,274.87/419,409.34
  6. Step 6: Final answer
    x = 179,832.94

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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.