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Finding the Fourth Proportional to 348,163.56, 522,216.18 and 137,745

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Solution

The fourth proportional to 348,163.56, 522,216.18 and 137,745 is: 206,605.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,163.56 : 522,216.18 = 137,745 : x
  2. Step 2: Convert to fraction form
    348,163.56/522,216.18 = 137,745/x
  3. Step 3: Cross multiply
    348,163.56x = 522,216.18 × 137,745
  4. Step 4: Simplify right side
    348,163.56x = 71,932,667,714.10
  5. Step 5: Solve for x
    x = 71,932,667,714.10/348,163.56
  6. Step 6: Final answer
    x = 206,605.96

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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.