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Finding the Fourth Proportional to 200,820.20, 301,230.30 and 197,709.80

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Solution

The fourth proportional to 200,820.20, 301,230.30 and 197,709.80 is: 296,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,820.20 : 301,230.30 = 197,709.80 : x
  2. Step 2: Convert to fraction form
    200,820.20/301,230.30 = 197,709.80/x
  3. Step 3: Cross multiply
    200,820.20x = 301,230.30 × 197,709.80
  4. Step 4: Simplify right side
    200,820.20x = 59,556,182,366.94
  5. Step 5: Solve for x
    x = 59,556,182,366.94/200,820.20
  6. Step 6: Final answer
    x = 296,564.70

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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.