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Finding the Fourth Proportional to 419,701.60, 629,746.80 and 220,247.20

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Solution

The fourth proportional to 419,701.60, 629,746.80 and 220,247.20 is: 330,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,701.60 : 629,746.80 = 220,247.20 : x
  2. Step 2: Convert to fraction form
    419,701.60/629,746.80 = 220,247.20/x
  3. Step 3: Cross multiply
    419,701.60x = 629,746.80 × 220,247.20
  4. Step 4: Simplify right side
    419,701.60x = 138,699,969,408.96
  5. Step 5: Solve for x
    x = 138,699,969,408.96/419,701.60
  6. Step 6: Final answer
    x = 330,472.82

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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.