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Finding the Fourth Proportional to 405,530.44, 559,407.54 and 235,745.80

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Solution

The fourth proportional to 405,530.44, 559,407.54 and 235,745.80 is: 325,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,530.44 : 559,407.54 = 235,745.80 : x
  2. Step 2: Convert to fraction form
    405,530.44/559,407.54 = 235,745.80/x
  3. Step 3: Cross multiply
    405,530.44x = 559,407.54 × 235,745.80
  4. Step 4: Simplify right side
    405,530.44x = 131,877,978,043.33
  5. Step 5: Solve for x
    x = 131,877,978,043.33/405,530.44
  6. Step 6: Final answer
    x = 325,198.72

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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.