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Finding the Fourth Proportional to 298,324.56, 447,650.82 and 140,548.98

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Solution

The fourth proportional to 298,324.56, 447,650.82 and 140,548.98 is: 210,900.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,324.56 : 447,650.82 = 140,548.98 : x
  2. Step 2: Convert to fraction form
    298,324.56/447,650.82 = 140,548.98/x
  3. Step 3: Cross multiply
    298,324.56x = 447,650.82 × 140,548.98
  4. Step 4: Simplify right side
    298,324.56x = 62,916,866,147.16
  5. Step 5: Solve for x
    x = 62,916,866,147.16/298,324.56
  6. Step 6: Final answer
    x = 210,900.73

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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.