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Finding the Fourth Proportional to 312,680.44, 431,497.92 and 169,444

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Solution

The fourth proportional to 312,680.44, 431,497.92 and 169,444 is: 233,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,680.44 : 431,497.92 = 169,444 : x
  2. Step 2: Convert to fraction form
    312,680.44/431,497.92 = 169,444/x
  3. Step 3: Cross multiply
    312,680.44x = 431,497.92 × 169,444
  4. Step 4: Simplify right side
    312,680.44x = 73,114,733,556.48
  5. Step 5: Solve for x
    x = 73,114,733,556.48/312,680.44
  6. Step 6: Final answer
    x = 233,832.13

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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.