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Finding the Fourth Proportional to 419,722.60, 629,583.90 and 242,138.20

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Solution

The fourth proportional to 419,722.60, 629,583.90 and 242,138.20 is: 363,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,722.60 : 629,583.90 = 242,138.20 : x
  2. Step 2: Convert to fraction form
    419,722.60/629,583.90 = 242,138.20/x
  3. Step 3: Cross multiply
    419,722.60x = 629,583.90 × 242,138.20
  4. Step 4: Simplify right side
    419,722.60x = 152,446,312,294.98
  5. Step 5: Solve for x
    x = 152,446,312,294.98/419,722.60
  6. Step 6: Final answer
    x = 363,207.30

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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.