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Finding the Fourth Proportional to 405,361.48, 559,321.86 and 254,390.44

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Solution

The fourth proportional to 405,361.48, 559,321.86 and 254,390.44 is: 351,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,361.48 : 559,321.86 = 254,390.44 : x
  2. Step 2: Convert to fraction form
    405,361.48/559,321.86 = 254,390.44/x
  3. Step 3: Cross multiply
    405,361.48x = 559,321.86 × 254,390.44
  4. Step 4: Simplify right side
    405,361.48x = 142,286,134,067.02
  5. Step 5: Solve for x
    x = 142,286,134,067.02/405,361.48
  6. Step 6: Final answer
    x = 351,010.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.