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Finding the Fourth Proportional to 280,710.60, 421,287.05 and 130,873.75

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Solution

The fourth proportional to 280,710.60, 421,287.05 and 130,873.75 is: 196,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,710.60 : 421,287.05 = 130,873.75 : x
  2. Step 2: Convert to fraction form
    280,710.60/421,287.05 = 130,873.75/x
  3. Step 3: Cross multiply
    280,710.60x = 421,287.05 × 130,873.75
  4. Step 4: Simplify right side
    280,710.60x = 55,135,416,059.94
  5. Step 5: Solve for x
    x = 55,135,416,059.94/280,710.60
  6. Step 6: Final answer
    x = 196,413.73

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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.