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Finding the Fourth Proportional to 419,982.40, 629,973.60 and 414,452.80

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Solution

The fourth proportional to 419,982.40, 629,973.60 and 414,452.80 is: 621,679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,982.40 : 629,973.60 = 414,452.80 : x
  2. Step 2: Convert to fraction form
    419,982.40/629,973.60 = 414,452.80/x
  3. Step 3: Cross multiply
    419,982.40x = 629,973.60 × 414,452.80
  4. Step 4: Simplify right side
    419,982.40x = 261,094,322,446.08
  5. Step 5: Solve for x
    x = 261,094,322,446.08/419,982.40
  6. Step 6: Final answer
    x = 621,679.20

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1.5x scale

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.