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Finding the Fourth Proportional to 180,413.76, 270,474.84 and 75,311.40

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Solution

The fourth proportional to 180,413.76, 270,474.84 and 75,311.40 is: 112,906.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,413.76 : 270,474.84 = 75,311.40 : x
  2. Step 2: Convert to fraction form
    180,413.76/270,474.84 = 75,311.40/x
  3. Step 3: Cross multiply
    180,413.76x = 270,474.84 × 75,311.40
  4. Step 4: Simplify right side
    180,413.76x = 20,369,838,865.18
  5. Step 5: Solve for x
    x = 20,369,838,865.18/180,413.76
  6. Step 6: Final answer
    x = 112,906.24

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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.