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Finding the Fourth Proportional to 280,953.78, 421,431.09 and 114,741.78

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Solution

The fourth proportional to 280,953.78, 421,431.09 and 114,741.78 is: 172,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,953.78 : 421,431.09 = 114,741.78 : x
  2. Step 2: Convert to fraction form
    280,953.78/421,431.09 = 114,741.78/x
  3. Step 3: Cross multiply
    280,953.78x = 421,431.09 × 114,741.78
  4. Step 4: Simplify right side
    280,953.78x = 48,355,753,413.94
  5. Step 5: Solve for x
    x = 48,355,753,413.94/280,953.78
  6. Step 6: Final answer
    x = 172,112.84

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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.