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Finding the Fourth Proportional to 199,622.70, 299,434.05 and 179,939.70

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Solution

The fourth proportional to 199,622.70, 299,434.05 and 179,939.70 is: 269,909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,622.70 : 299,434.05 = 179,939.70 : x
  2. Step 2: Convert to fraction form
    199,622.70/299,434.05 = 179,939.70/x
  3. Step 3: Cross multiply
    199,622.70x = 299,434.05 × 179,939.70
  4. Step 4: Simplify right side
    199,622.70x = 53,880,073,126.79
  5. Step 5: Solve for x
    x = 53,880,073,126.79/199,622.70
  6. Step 6: Final answer
    x = 269,909.55

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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.