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Finding the Fourth Proportional to 419,885.70, 629,638.98 and 120,297.66

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Solution

The fourth proportional to 419,885.70, 629,638.98 and 120,297.66 is: 180,392.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,885.70 : 629,638.98 = 120,297.66 : x
  2. Step 2: Convert to fraction form
    419,885.70/629,638.98 = 120,297.66/x
  3. Step 3: Cross multiply
    419,885.70x = 629,638.98 × 120,297.66
  4. Step 4: Simplify right side
    419,885.70x = 75,744,095,938.79
  5. Step 5: Solve for x
    x = 75,744,095,938.79/419,885.70
  6. Step 6: Final answer
    x = 180,392.18

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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.