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Finding the Fourth Proportional to 523,660, 722,650.80 and 285,196

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Solution

The fourth proportional to 523,660, 722,650.80 and 285,196 is: 393,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,660 : 722,650.80 = 285,196 : x
  2. Step 2: Convert to fraction form
    523,660/722,650.80 = 285,196/x
  3. Step 3: Cross multiply
    523,660x = 722,650.80 × 285,196
  4. Step 4: Simplify right side
    523,660x = 206,097,117,556.80
  5. Step 5: Solve for x
    x = 206,097,117,556.80/523,660
  6. Step 6: Final answer
    x = 393,570.48

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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.