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Finding the Fourth Proportional to 297,183.90, 445,760.19 and 97,478

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Solution

The fourth proportional to 297,183.90, 445,760.19 and 97,478 is: 146,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,183.90 : 445,760.19 = 97,478 : x
  2. Step 2: Convert to fraction form
    297,183.90/445,760.19 = 97,478/x
  3. Step 3: Cross multiply
    297,183.90x = 445,760.19 × 97,478
  4. Step 4: Simplify right side
    297,183.90x = 43,451,811,800.82
  5. Step 5: Solve for x
    x = 43,451,811,800.82/297,183.90
  6. Step 6: Final answer
    x = 146,211.86

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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.