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Finding the Fourth Proportional to 280,906.74, 421,272.63 and 93,874.50

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Solution

The fourth proportional to 280,906.74, 421,272.63 and 93,874.50 is: 140,782.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,906.74 : 421,272.63 = 93,874.50 : x
  2. Step 2: Convert to fraction form
    280,906.74/421,272.63 = 93,874.50/x
  3. Step 3: Cross multiply
    280,906.74x = 421,272.63 × 93,874.50
  4. Step 4: Simplify right side
    280,906.74x = 39,546,757,504.94
  5. Step 5: Solve for x
    x = 39,546,757,504.94/280,906.74
  6. Step 6: Final answer
    x = 140,782.52

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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.