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Finding the Fourth Proportional to 379,042.34, 523,074.48 and 206,959.76

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Solution

The fourth proportional to 379,042.34, 523,074.48 and 206,959.76 is: 285,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,042.34 : 523,074.48 = 206,959.76 : x
  2. Step 2: Convert to fraction form
    379,042.34/523,074.48 = 206,959.76/x
  3. Step 3: Cross multiply
    379,042.34x = 523,074.48 × 206,959.76
  4. Step 4: Simplify right side
    379,042.34x = 108,255,367,412.98
  5. Step 5: Solve for x
    x = 108,255,367,412.98/379,042.34
  6. Step 6: Final answer
    x = 285,602.31

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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.