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Finding the Fourth Proportional to 271,806.10, 407,320.35 and 200,169.70

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Solution

The fourth proportional to 271,806.10, 407,320.35 and 200,169.70 is: 299,968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,806.10 : 407,320.35 = 200,169.70 : x
  2. Step 2: Convert to fraction form
    271,806.10/407,320.35 = 200,169.70/x
  3. Step 3: Cross multiply
    271,806.10x = 407,320.35 × 200,169.70
  4. Step 4: Simplify right side
    271,806.10x = 81,533,192,263.40
  5. Step 5: Solve for x
    x = 81,533,192,263.40/271,806.10
  6. Step 6: Final answer
    x = 299,968.22

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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.