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Finding the Fourth Proportional to 221,314.40, 331,971.60 and 204,207.20

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Solution

The fourth proportional to 221,314.40, 331,971.60 and 204,207.20 is: 306,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,314.40 : 331,971.60 = 204,207.20 : x
  2. Step 2: Convert to fraction form
    221,314.40/331,971.60 = 204,207.20/x
  3. Step 3: Cross multiply
    221,314.40x = 331,971.60 × 204,207.20
  4. Step 4: Simplify right side
    221,314.40x = 67,790,990,915.52
  5. Step 5: Solve for x
    x = 67,790,990,915.52/221,314.40
  6. Step 6: Final answer
    x = 306,310.80

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1.5x scale

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.