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Finding the Fourth Proportional to 403,786.20, 605,023.20 and 347,361.60

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Solution

The fourth proportional to 403,786.20, 605,023.20 and 347,361.60 is: 520,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,786.20 : 605,023.20 = 347,361.60 : x
  2. Step 2: Convert to fraction form
    403,786.20/605,023.20 = 347,361.60/x
  3. Step 3: Cross multiply
    403,786.20x = 605,023.20 × 347,361.60
  4. Step 4: Simplify right side
    403,786.20x = 210,161,826,789.12
  5. Step 5: Solve for x
    x = 210,161,826,789.12/403,786.20
  6. Step 6: Final answer
    x = 520,477.98

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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.