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Finding the Fourth Proportional to 201,288.80, 302,516.40 and 197,789.60

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Solution

The fourth proportional to 201,288.80, 302,516.40 and 197,789.60 is: 297,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,288.80 : 302,516.40 = 197,789.60 : x
  2. Step 2: Convert to fraction form
    201,288.80/302,516.40 = 197,789.60/x
  3. Step 3: Cross multiply
    201,288.80x = 302,516.40 × 197,789.60
  4. Step 4: Simplify right side
    201,288.80x = 59,834,597,749.44
  5. Step 5: Solve for x
    x = 59,834,597,749.44/201,288.80
  6. Step 6: Final answer
    x = 297,257.46

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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.