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Finding the Fourth Proportional to 298,850.64, 412,389 and 171,499.20

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Solution

The fourth proportional to 298,850.64, 412,389 and 171,499.20 is: 236,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,850.64 : 412,389 = 171,499.20 : x
  2. Step 2: Convert to fraction form
    298,850.64/412,389 = 171,499.20/x
  3. Step 3: Cross multiply
    298,850.64x = 412,389 × 171,499.20
  4. Step 4: Simplify right side
    298,850.64x = 70,724,383,588.80
  5. Step 5: Solve for x
    x = 70,724,383,588.80/298,850.64
  6. Step 6: Final answer
    x = 236,654.62

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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.