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Finding the Fourth Proportional to 489,094.72, 674,942.15 and 274,234.12

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Solution

The fourth proportional to 489,094.72, 674,942.15 and 274,234.12 is: 378,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,094.72 : 674,942.15 = 274,234.12 : x
  2. Step 2: Convert to fraction form
    489,094.72/674,942.15 = 274,234.12/x
  3. Step 3: Cross multiply
    489,094.72x = 674,942.15 × 274,234.12
  4. Step 4: Simplify right side
    489,094.72x = 185,092,166,556.16
  5. Step 5: Solve for x
    x = 185,092,166,556.16/489,094.72
  6. Step 6: Final answer
    x = 378,438.28

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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.