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Finding the Fourth Proportional to 205,413.60, 307,832.40 and 163,365.60

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Solution

The fourth proportional to 205,413.60, 307,832.40 and 163,365.60 is: 244,819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,413.60 : 307,832.40 = 163,365.60 : x
  2. Step 2: Convert to fraction form
    205,413.60/307,832.40 = 163,365.60/x
  3. Step 3: Cross multiply
    205,413.60x = 307,832.40 × 163,365.60
  4. Step 4: Simplify right side
    205,413.60x = 50,289,224,725.44
  5. Step 5: Solve for x
    x = 50,289,224,725.44/205,413.60
  6. Step 6: Final answer
    x = 244,819.35

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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.