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Finding the Fourth Proportional to 414,485.93, 621,728.83 and 114,966.50

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Solution

The fourth proportional to 414,485.93, 621,728.83 and 114,966.50 is: 172,449.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,485.93 : 621,728.83 = 114,966.50 : x
  2. Step 2: Convert to fraction form
    414,485.93/621,728.83 = 114,966.50/x
  3. Step 3: Cross multiply
    414,485.93x = 621,728.83 × 114,966.50
  4. Step 4: Simplify right side
    414,485.93x = 71,477,987,246.78
  5. Step 5: Solve for x
    x = 71,477,987,246.78/414,485.93
  6. Step 6: Final answer
    x = 172,449.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.