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Finding the Fourth Proportional to 312,994.36, 431,932.42 and 169,754.36

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Solution

The fourth proportional to 312,994.36, 431,932.42 and 169,754.36 is: 234,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,994.36 : 431,932.42 = 169,754.36 : x
  2. Step 2: Convert to fraction form
    312,994.36/431,932.42 = 169,754.36/x
  3. Step 3: Cross multiply
    312,994.36x = 431,932.42 × 169,754.36
  4. Step 4: Simplify right side
    312,994.36x = 73,322,411,520.35
  5. Step 5: Solve for x
    x = 73,322,411,520.35/312,994.36
  6. Step 6: Final answer
    x = 234,261.13

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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.