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Finding the Fourth Proportional to 419,986.40, 629,979.60 and 403,656.80

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Solution

The fourth proportional to 419,986.40, 629,979.60 and 403,656.80 is: 605,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,986.40 : 629,979.60 = 403,656.80 : x
  2. Step 2: Convert to fraction form
    419,986.40/629,979.60 = 403,656.80/x
  3. Step 3: Cross multiply
    419,986.40x = 629,979.60 × 403,656.80
  4. Step 4: Simplify right side
    419,986.40x = 254,295,549,401.28
  5. Step 5: Solve for x
    x = 254,295,549,401.28/419,986.40
  6. Step 6: Final answer
    x = 605,485.20

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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.