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Finding the Fourth Proportional to 394,429.40, 591,644.10 and 194,845.40

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Solution

The fourth proportional to 394,429.40, 591,644.10 and 194,845.40 is: 292,268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,429.40 : 591,644.10 = 194,845.40 : x
  2. Step 2: Convert to fraction form
    394,429.40/591,644.10 = 194,845.40/x
  3. Step 3: Cross multiply
    394,429.40x = 591,644.10 × 194,845.40
  4. Step 4: Simplify right side
    394,429.40x = 115,279,131,322.14
  5. Step 5: Solve for x
    x = 115,279,131,322.14/394,429.40
  6. Step 6: Final answer
    x = 292,268.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.