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Finding the Fourth Proportional to 496,277.20, 744,415.80 and 419,294.80

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Solution

The fourth proportional to 496,277.20, 744,415.80 and 419,294.80 is: 628,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,277.20 : 744,415.80 = 419,294.80 : x
  2. Step 2: Convert to fraction form
    496,277.20/744,415.80 = 419,294.80/x
  3. Step 3: Cross multiply
    496,277.20x = 744,415.80 × 419,294.80
  4. Step 4: Simplify right side
    496,277.20x = 312,129,673,977.84
  5. Step 5: Solve for x
    x = 312,129,673,977.84/496,277.20
  6. Step 6: Final answer
    x = 628,942.20

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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.