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Finding the Fourth Proportional to 662,462.98, 993,694.92 and 213,183.75

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Solution

The fourth proportional to 662,462.98, 993,694.92 and 213,183.75 is: 319,775.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,462.98 : 993,694.92 = 213,183.75 : x
  2. Step 2: Convert to fraction form
    662,462.98/993,694.92 = 213,183.75/x
  3. Step 3: Cross multiply
    662,462.98x = 993,694.92 × 213,183.75
  4. Step 4: Simplify right side
    662,462.98x = 211,839,609,401.55
  5. Step 5: Solve for x
    x = 211,839,609,401.55/662,462.98
  6. Step 6: Final answer
    x = 319,775.77

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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.