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Finding the Fourth Proportional to 427,739.44, 641,185.80 and 202,702

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Solution

The fourth proportional to 427,739.44, 641,185.80 and 202,702 is: 303,852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,739.44 : 641,185.80 = 202,702 : x
  2. Step 2: Convert to fraction form
    427,739.44/641,185.80 = 202,702/x
  3. Step 3: Cross multiply
    427,739.44x = 641,185.80 × 202,702
  4. Step 4: Simplify right side
    427,739.44x = 129,969,644,031.60
  5. Step 5: Solve for x
    x = 129,969,644,031.60/427,739.44
  6. Step 6: Final answer
    x = 303,852.37

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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.