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Finding the Fourth Proportional to 419,729.40, 629,594.10 and 403,399.80

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Solution

The fourth proportional to 419,729.40, 629,594.10 and 403,399.80 is: 605,099.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,729.40 : 629,594.10 = 403,399.80 : x
  2. Step 2: Convert to fraction form
    419,729.40/629,594.10 = 403,399.80/x
  3. Step 3: Cross multiply
    419,729.40x = 629,594.10 × 403,399.80
  4. Step 4: Simplify right side
    419,729.40x = 253,978,134,021.18
  5. Step 5: Solve for x
    x = 253,978,134,021.18/419,729.40
  6. Step 6: Final answer
    x = 605,099.70

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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.