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Finding the Fourth Proportional to 414,485.86, 621,728.73 and 114,966.44

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Solution

The fourth proportional to 414,485.86, 621,728.73 and 114,966.44 is: 172,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,485.86 : 621,728.73 = 114,966.44 : x
  2. Step 2: Convert to fraction form
    414,485.86/621,728.73 = 114,966.44/x
  3. Step 3: Cross multiply
    414,485.86x = 621,728.73 × 114,966.44
  4. Step 4: Simplify right side
    414,485.86x = 71,477,938,733.82
  5. Step 5: Solve for x
    x = 71,477,938,733.82/414,485.86
  6. Step 6: Final answer
    x = 172,449.64

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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.