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Finding the Fourth Proportional to 485,843.36, 728,682.42 and 130,778.24

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Solution

The fourth proportional to 485,843.36, 728,682.42 and 130,778.24 is: 196,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,843.36 : 728,682.42 = 130,778.24 : x
  2. Step 2: Convert to fraction form
    485,843.36/728,682.42 = 130,778.24/x
  3. Step 3: Cross multiply
    485,843.36x = 728,682.42 × 130,778.24
  4. Step 4: Simplify right side
    485,843.36x = 95,295,804,406.54
  5. Step 5: Solve for x
    x = 95,295,804,406.54/485,843.36
  6. Step 6: Final answer
    x = 196,145.12

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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.