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Finding the Fourth Proportional to 407,999.80, 612,096.90 and 197,464.60

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Solution

The fourth proportional to 407,999.80, 612,096.90 and 197,464.60 is: 296,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,999.80 : 612,096.90 = 197,464.60 : x
  2. Step 2: Convert to fraction form
    407,999.80/612,096.90 = 197,464.60/x
  3. Step 3: Cross multiply
    407,999.80x = 612,096.90 × 197,464.60
  4. Step 4: Simplify right side
    407,999.80x = 120,867,469,519.74
  5. Step 5: Solve for x
    x = 120,867,469,519.74/407,999.80
  6. Step 6: Final answer
    x = 296,243.94

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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.