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Finding the Fourth Proportional to 312,994.01, 431,932.26 and 169,754.16

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Solution

The fourth proportional to 312,994.01, 431,932.26 and 169,754.16 is: 234,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,994.01 : 431,932.26 = 169,754.16 : x
  2. Step 2: Convert to fraction form
    312,994.01/431,932.26 = 169,754.16/x
  3. Step 3: Cross multiply
    312,994.01x = 431,932.26 × 169,754.16
  4. Step 4: Simplify right side
    312,994.01x = 73,322,297,973.20
  5. Step 5: Solve for x
    x = 73,322,297,973.20/312,994.01
  6. Step 6: Final answer
    x = 234,261.03

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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.