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Finding the Fourth Proportional to 408,003.60, 612,005.40 and 378,512.40

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Solution

The fourth proportional to 408,003.60, 612,005.40 and 378,512.40 is: 567,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,003.60 : 612,005.40 = 378,512.40 : x
  2. Step 2: Convert to fraction form
    408,003.60/612,005.40 = 378,512.40/x
  3. Step 3: Cross multiply
    408,003.60x = 612,005.40 × 378,512.40
  4. Step 4: Simplify right side
    408,003.60x = 231,651,632,766.96
  5. Step 5: Solve for x
    x = 231,651,632,766.96/408,003.60
  6. Step 6: Final answer
    x = 567,768.60

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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.