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Finding the Fourth Proportional to 270,452.16, 405,630.72 and 83,413.44

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Solution

The fourth proportional to 270,452.16, 405,630.72 and 83,413.44 is: 125,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,452.16 : 405,630.72 = 83,413.44 : x
  2. Step 2: Convert to fraction form
    270,452.16/405,630.72 = 83,413.44/x
  3. Step 3: Cross multiply
    270,452.16x = 405,630.72 × 83,413.44
  4. Step 4: Simplify right side
    270,452.16x = 33,835,053,724.88
  5. Step 5: Solve for x
    x = 33,835,053,724.88/270,452.16
  6. Step 6: Final answer
    x = 125,105.50

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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.