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Finding the Fourth Proportional to 271,811.80, 406,911.30 and 202,000.60

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Solution

The fourth proportional to 271,811.80, 406,911.30 and 202,000.60 is: 302,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,811.80 : 406,911.30 = 202,000.60 : x
  2. Step 2: Convert to fraction form
    271,811.80/406,911.30 = 202,000.60/x
  3. Step 3: Cross multiply
    271,811.80x = 406,911.30 × 202,000.60
  4. Step 4: Simplify right side
    271,811.80x = 82,196,326,746.78
  5. Step 5: Solve for x
    x = 82,196,326,746.78/271,811.80
  6. Step 6: Final answer
    x = 302,401.61

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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.