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Finding the Fourth Proportional to 298,105.34, 411,388.34 and 162,142.45

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Solution

The fourth proportional to 298,105.34, 411,388.34 and 162,142.45 is: 223,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,105.34 : 411,388.34 = 162,142.45 : x
  2. Step 2: Convert to fraction form
    298,105.34/411,388.34 = 162,142.45/x
  3. Step 3: Cross multiply
    298,105.34x = 411,388.34 × 162,142.45
  4. Step 4: Simplify right side
    298,105.34x = 66,703,511,509.85
  5. Step 5: Solve for x
    x = 66,703,511,509.85/298,105.34
  6. Step 6: Final answer
    x = 223,758.19

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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.