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Finding the Fourth Proportional to 271,809.30, 406,907.55 and 201,998.10

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Solution

The fourth proportional to 271,809.30, 406,907.55 and 201,998.10 is: 302,397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,809.30 : 406,907.55 = 201,998.10 : x
  2. Step 2: Convert to fraction form
    271,809.30/406,907.55 = 201,998.10/x
  3. Step 3: Cross multiply
    271,809.30x = 406,907.55 × 201,998.10
  4. Step 4: Simplify right side
    271,809.30x = 82,194,551,975.66
  5. Step 5: Solve for x
    x = 82,194,551,975.66/271,809.30
  6. Step 6: Final answer
    x = 302,397.86

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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.