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Finding the Fourth Proportional to 206,413.70, 309,620.55 and 180,169.70

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Solution

The fourth proportional to 206,413.70, 309,620.55 and 180,169.70 is: 270,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,413.70 : 309,620.55 = 180,169.70 : x
  2. Step 2: Convert to fraction form
    206,413.70/309,620.55 = 180,169.70/x
  3. Step 3: Cross multiply
    206,413.70x = 309,620.55 × 180,169.70
  4. Step 4: Simplify right side
    206,413.70x = 55,784,241,607.34
  5. Step 5: Solve for x
    x = 55,784,241,607.34/206,413.70
  6. Step 6: Final answer
    x = 270,254.55

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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.