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Finding the Fourth Proportional to 217,000.99, 299,450.89 and 120,198.30

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Solution

The fourth proportional to 217,000.99, 299,450.89 and 120,198.30 is: 165,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,000.99 : 299,450.89 = 120,198.30 : x
  2. Step 2: Convert to fraction form
    217,000.99/299,450.89 = 120,198.30/x
  3. Step 3: Cross multiply
    217,000.99x = 299,450.89 × 120,198.30
  4. Step 4: Simplify right side
    217,000.99x = 35,993,486,938.79
  5. Step 5: Solve for x
    x = 35,993,486,938.79/217,000.99
  6. Step 6: Final answer
    x = 165,867.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.