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Finding the Fourth Proportional to 298,344.56, 411,770.76 and 171,021.20

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Solution

The fourth proportional to 298,344.56, 411,770.76 and 171,021.20 is: 236,040.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,344.56 : 411,770.76 = 171,021.20 : x
  2. Step 2: Convert to fraction form
    298,344.56/411,770.76 = 171,021.20/x
  3. Step 3: Cross multiply
    298,344.56x = 411,770.76 × 171,021.20
  4. Step 4: Simplify right side
    298,344.56x = 70,421,529,500.11
  5. Step 5: Solve for x
    x = 70,421,529,500.11/298,344.56
  6. Step 6: Final answer
    x = 236,040.94

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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.