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Finding the Fourth Proportional to 278,033.68, 416,986.56 and 165,745.60

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Solution

The fourth proportional to 278,033.68, 416,986.56 and 165,745.60 is: 248,580.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,033.68 : 416,986.56 = 165,745.60 : x
  2. Step 2: Convert to fraction form
    278,033.68/416,986.56 = 165,745.60/x
  3. Step 3: Cross multiply
    278,033.68x = 416,986.56 × 165,745.60
  4. Step 4: Simplify right side
    278,033.68x = 69,113,687,579.14
  5. Step 5: Solve for x
    x = 69,113,687,579.14/278,033.68
  6. Step 6: Final answer
    x = 248,580.27

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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.