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Finding the Fourth Proportional to 326,634.10, 490,021.14 and 113,408.76

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Solution

The fourth proportional to 326,634.10, 490,021.14 and 113,408.76 is: 170,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,634.10 : 490,021.14 = 113,408.76 : x
  2. Step 2: Convert to fraction form
    326,634.10/490,021.14 = 113,408.76/x
  3. Step 3: Cross multiply
    326,634.10x = 490,021.14 × 113,408.76
  4. Step 4: Simplify right side
    326,634.10x = 55,572,689,861.19
  5. Step 5: Solve for x
    x = 55,572,689,861.19/326,634.10
  6. Step 6: Final answer
    x = 170,137.44

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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.