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Finding the Fourth Proportional to 285,405.20, 427,800.60 and 107,843.60

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Solution

The fourth proportional to 285,405.20, 427,800.60 and 107,843.60 is: 161,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,405.20 : 427,800.60 = 107,843.60 : x
  2. Step 2: Convert to fraction form
    285,405.20/427,800.60 = 107,843.60/x
  3. Step 3: Cross multiply
    285,405.20x = 427,800.60 × 107,843.60
  4. Step 4: Simplify right side
    285,405.20x = 46,135,556,786.16
  5. Step 5: Solve for x
    x = 46,135,556,786.16/285,405.20
  6. Step 6: Final answer
    x = 161,649.32

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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.