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Finding the Fourth Proportional to 524,975.70, 788,255.55 and 419,481.30

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Solution

The fourth proportional to 524,975.70, 788,255.55 and 419,481.30 is: 629,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,975.70 : 788,255.55 = 419,481.30 : x
  2. Step 2: Convert to fraction form
    524,975.70/788,255.55 = 419,481.30/x
  3. Step 3: Cross multiply
    524,975.70x = 788,255.55 × 419,481.30
  4. Step 4: Simplify right side
    524,975.70x = 330,658,462,846.22
  5. Step 5: Solve for x
    x = 330,658,462,846.22/524,975.70
  6. Step 6: Final answer
    x = 629,854.80

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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.