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Finding the Fourth Proportional to 419,643.20, 629,464.80 and 262,049.60

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Solution

The fourth proportional to 419,643.20, 629,464.80 and 262,049.60 is: 393,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,643.20 : 629,464.80 = 262,049.60 : x
  2. Step 2: Convert to fraction form
    419,643.20/629,464.80 = 262,049.60/x
  3. Step 3: Cross multiply
    419,643.20x = 629,464.80 × 262,049.60
  4. Step 4: Simplify right side
    419,643.20x = 164,950,999,054.08
  5. Step 5: Solve for x
    x = 164,950,999,054.08/419,643.20
  6. Step 6: Final answer
    x = 393,074.40

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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.