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Finding the Fourth Proportional to 312,375.54, 431,076.42 and 169,132.62

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Solution

The fourth proportional to 312,375.54, 431,076.42 and 169,132.62 is: 233,402.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,375.54 : 431,076.42 = 169,132.62 : x
  2. Step 2: Convert to fraction form
    312,375.54/431,076.42 = 169,132.62/x
  3. Step 3: Cross multiply
    312,375.54x = 431,076.42 × 169,132.62
  4. Step 4: Simplify right side
    312,375.54x = 72,909,084,334.82
  5. Step 5: Solve for x
    x = 72,909,084,334.82/312,375.54
  6. Step 6: Final answer
    x = 233,402.03

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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.