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Finding the Fourth Proportional to 379,042.08, 523,074.08 and 206,959.50

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Solution

The fourth proportional to 379,042.08, 523,074.08 and 206,959.50 is: 285,601.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,042.08 : 523,074.08 = 206,959.50 : x
  2. Step 2: Convert to fraction form
    379,042.08/523,074.08 = 206,959.50/x
  3. Step 3: Cross multiply
    379,042.08x = 523,074.08 × 206,959.50
  4. Step 4: Simplify right side
    379,042.08x = 108,255,150,059.76
  5. Step 5: Solve for x
    x = 108,255,150,059.76/379,042.08
  6. Step 6: Final answer
    x = 285,601.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.