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Finding the Fourth Proportional to 298,192.26, 447,288.46 and 87,830.22

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Solution

The fourth proportional to 298,192.26, 447,288.46 and 87,830.22 is: 131,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,192.26 : 447,288.46 = 87,830.22 : x
  2. Step 2: Convert to fraction form
    298,192.26/447,288.46 = 87,830.22/x
  3. Step 3: Cross multiply
    298,192.26x = 447,288.46 × 87,830.22
  4. Step 4: Simplify right side
    298,192.26x = 39,285,443,845.26
  5. Step 5: Solve for x
    x = 39,285,443,845.26/298,192.26
  6. Step 6: Final answer
    x = 131,745.35

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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.