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Finding the Fourth Proportional to 497,727.60, 746,591.40 and 419,967.60

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Solution

The fourth proportional to 497,727.60, 746,591.40 and 419,967.60 is: 629,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,727.60 : 746,591.40 = 419,967.60 : x
  2. Step 2: Convert to fraction form
    497,727.60/746,591.40 = 419,967.60/x
  3. Step 3: Cross multiply
    497,727.60x = 746,591.40 × 419,967.60
  4. Step 4: Simplify right side
    497,727.60x = 313,544,198,438.64
  5. Step 5: Solve for x
    x = 313,544,198,438.64/497,727.60
  6. Step 6: Final answer
    x = 629,951.40

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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.