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Finding the Fourth Proportional to 298,513.10, 412,221.72 and 189,652.60

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Solution

The fourth proportional to 298,513.10, 412,221.72 and 189,652.60 is: 261,894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,513.10 : 412,221.72 = 189,652.60 : x
  2. Step 2: Convert to fraction form
    298,513.10/412,221.72 = 189,652.60/x
  3. Step 3: Cross multiply
    298,513.10x = 412,221.72 × 189,652.60
  4. Step 4: Simplify right side
    298,513.10x = 78,178,920,974.47
  5. Step 5: Solve for x
    x = 78,178,920,974.47/298,513.10
  6. Step 6: Final answer
    x = 261,894.44

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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.