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Finding the Fourth Proportional to 497,679.60, 746,519.40 and 419,919.60

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Solution

The fourth proportional to 497,679.60, 746,519.40 and 419,919.60 is: 629,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,679.60 : 746,519.40 = 419,919.60 : x
  2. Step 2: Convert to fraction form
    497,679.60/746,519.40 = 419,919.60/x
  3. Step 3: Cross multiply
    497,679.60x = 746,519.40 × 419,919.60
  4. Step 4: Simplify right side
    497,679.60x = 313,478,127,840.24
  5. Step 5: Solve for x
    x = 313,478,127,840.24/497,679.60
  6. Step 6: Final answer
    x = 629,879.40

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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.