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Finding the Fourth Proportional to 271,806.30, 406,903.05 and 201,995.10

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Solution

The fourth proportional to 271,806.30, 406,903.05 and 201,995.10 is: 302,393.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,806.30 : 406,903.05 = 201,995.10 : x
  2. Step 2: Convert to fraction form
    271,806.30/406,903.05 = 201,995.10/x
  3. Step 3: Cross multiply
    271,806.30x = 406,903.05 × 201,995.10
  4. Step 4: Simplify right side
    271,806.30x = 82,192,422,275.06
  5. Step 5: Solve for x
    x = 82,192,422,275.06/271,806.30
  6. Step 6: Final answer
    x = 302,393.37

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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.