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Finding the Fourth Proportional to 200,821.20, 301,231.80 and 197,710.80

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Solution

The fourth proportional to 200,821.20, 301,231.80 and 197,710.80 is: 296,566.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,821.20 : 301,231.80 = 197,710.80 : x
  2. Step 2: Convert to fraction form
    200,821.20/301,231.80 = 197,710.80/x
  3. Step 3: Cross multiply
    200,821.20x = 301,231.80 × 197,710.80
  4. Step 4: Simplify right side
    200,821.20x = 59,556,780,163.44
  5. Step 5: Solve for x
    x = 59,556,780,163.44/200,821.20
  6. Step 6: Final answer
    x = 296,566.20

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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.