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Finding the Fourth Proportional to 200,721.70, 301,082.55 and 197,611.30

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Solution

The fourth proportional to 200,721.70, 301,082.55 and 197,611.30 is: 296,416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,721.70 : 301,082.55 = 197,611.30 : x
  2. Step 2: Convert to fraction form
    200,721.70/301,082.55 = 197,611.30/x
  3. Step 3: Cross multiply
    200,721.70x = 301,082.55 × 197,611.30
  4. Step 4: Simplify right side
    200,721.70x = 59,497,314,112.82
  5. Step 5: Solve for x
    x = 59,497,314,112.82/200,721.70
  6. Step 6: Final answer
    x = 296,416.95

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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.