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Finding the Fourth Proportional to 206,413.60, 309,620.40 and 122,432.80

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Solution

The fourth proportional to 206,413.60, 309,620.40 and 122,432.80 is: 183,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,413.60 : 309,620.40 = 122,432.80 : x
  2. Step 2: Convert to fraction form
    206,413.60/309,620.40 = 122,432.80/x
  3. Step 3: Cross multiply
    206,413.60x = 309,620.40 × 122,432.80
  4. Step 4: Simplify right side
    206,413.60x = 37,907,692,509.12
  5. Step 5: Solve for x
    x = 37,907,692,509.12/206,413.60
  6. Step 6: Final answer
    x = 183,649.20

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1.5x scale

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.