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Finding the Fourth Proportional to 321,830.57, 443,817.26 and 192,748.37

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Solution

The fourth proportional to 321,830.57, 443,817.26 and 192,748.37 is: 265,807.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,830.57 : 443,817.26 = 192,748.37 : x
  2. Step 2: Convert to fraction form
    321,830.57/443,817.26 = 192,748.37/x
  3. Step 3: Cross multiply
    321,830.57x = 443,817.26 × 192,748.37
  4. Step 4: Simplify right side
    321,830.57x = 85,545,052,479.12
  5. Step 5: Solve for x
    x = 85,545,052,479.12/321,830.57
  6. Step 6: Final answer
    x = 265,807.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.