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Finding the Fourth Proportional to 478,830.20, 718,245.30 and 419,781.20

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Solution

The fourth proportional to 478,830.20, 718,245.30 and 419,781.20 is: 629,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,830.20 : 718,245.30 = 419,781.20 : x
  2. Step 2: Convert to fraction form
    478,830.20/718,245.30 = 419,781.20/x
  3. Step 3: Cross multiply
    478,830.20x = 718,245.30 × 419,781.20
  4. Step 4: Simplify right side
    478,830.20x = 301,505,873,928.36
  5. Step 5: Solve for x
    x = 301,505,873,928.36/478,830.20
  6. Step 6: Final answer
    x = 629,671.80

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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.