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Finding the Fourth Proportional to 419,718.60, 629,577.90 and 139,235.85

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Solution

The fourth proportional to 419,718.60, 629,577.90 and 139,235.85 is: 208,853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,718.60 : 629,577.90 = 139,235.85 : x
  2. Step 2: Convert to fraction form
    419,718.60/629,577.90 = 139,235.85/x
  3. Step 3: Cross multiply
    419,718.60x = 629,577.90 × 139,235.85
  4. Step 4: Simplify right side
    419,718.60x = 87,659,814,047.72
  5. Step 5: Solve for x
    x = 87,659,814,047.72/419,718.60
  6. Step 6: Final answer
    x = 208,853.78

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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.