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Finding the Fourth Proportional to 414,272.74, 620,978.19 and 281,163.82

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Solution

The fourth proportional to 414,272.74, 620,978.19 and 281,163.82 is: 421,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,272.74 : 620,978.19 = 281,163.82 : x
  2. Step 2: Convert to fraction form
    414,272.74/620,978.19 = 281,163.82/x
  3. Step 3: Cross multiply
    414,272.74x = 620,978.19 × 281,163.82
  4. Step 4: Simplify right side
    414,272.74x = 174,596,600,037.09
  5. Step 5: Solve for x
    x = 174,596,600,037.09/414,272.74
  6. Step 6: Final answer
    x = 421,453.27

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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.