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Finding the Fourth Proportional to 414,499.85, 621,749.78 and 414,499.85

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Solution

The fourth proportional to 414,499.85, 621,749.78 and 414,499.85 is: 621,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,499.85 : 621,749.78 = 414,499.85 : x
  2. Step 2: Convert to fraction form
    414,499.85/621,749.78 = 414,499.85/x
  3. Step 3: Cross multiply
    414,499.85x = 621,749.78 × 414,499.85
  4. Step 4: Simplify right side
    414,499.85x = 257,715,188,475.03
  5. Step 5: Solve for x
    x = 257,715,188,475.03/414,499.85
  6. Step 6: Final answer
    x = 621,749.78

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Similar ratio
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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.