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Finding the Fourth Proportional to 419,924.50, 629,889.06 and 104,381.41

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Solution

The fourth proportional to 419,924.50, 629,889.06 and 104,381.41 is: 156,572.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,924.50 : 629,889.06 = 104,381.41 : x
  2. Step 2: Convert to fraction form
    419,924.50/629,889.06 = 104,381.41/x
  3. Step 3: Cross multiply
    419,924.50x = 629,889.06 × 104,381.41
  4. Step 4: Simplify right side
    419,924.50x = 65,748,708,226.37
  5. Step 5: Solve for x
    x = 65,748,708,226.37/419,924.50
  6. Step 6: Final answer
    x = 156,572.69

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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.