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Finding the Fourth Proportional to 298,128.44, 411,379.83 and 201,542.40

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Solution

The fourth proportional to 298,128.44, 411,379.83 and 201,542.40 is: 278,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,128.44 : 411,379.83 = 201,542.40 : x
  2. Step 2: Convert to fraction form
    298,128.44/411,379.83 = 201,542.40/x
  3. Step 3: Cross multiply
    298,128.44x = 411,379.83 × 201,542.40
  4. Step 4: Simplify right side
    298,128.44x = 82,910,475,185.18
  5. Step 5: Solve for x
    x = 82,910,475,185.18/298,128.44
  6. Step 6: Final answer
    x = 278,103.21

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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.