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Finding the Fourth Proportional to 381,012.96, 571,519.44 and 131,558.88

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Solution

The fourth proportional to 381,012.96, 571,519.44 and 131,558.88 is: 197,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,012.96 : 571,519.44 = 131,558.88 : x
  2. Step 2: Convert to fraction form
    381,012.96/571,519.44 = 131,558.88/x
  3. Step 3: Cross multiply
    381,012.96x = 571,519.44 × 131,558.88
  4. Step 4: Simplify right side
    381,012.96x = 75,188,457,424.63
  5. Step 5: Solve for x
    x = 75,188,457,424.63/381,012.96
  6. Step 6: Final answer
    x = 197,338.32

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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.