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Finding the Fourth Proportional to 408,113.60, 612,170.40 and 221,489.60

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Solution

The fourth proportional to 408,113.60, 612,170.40 and 221,489.60 is: 332,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,113.60 : 612,170.40 = 221,489.60 : x
  2. Step 2: Convert to fraction form
    408,113.60/612,170.40 = 221,489.60/x
  3. Step 3: Cross multiply
    408,113.60x = 612,170.40 × 221,489.60
  4. Step 4: Simplify right side
    408,113.60x = 135,589,377,027.84
  5. Step 5: Solve for x
    x = 135,589,377,027.84/408,113.60
  6. Step 6: Final answer
    x = 332,234.40

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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.