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Finding the Fourth Proportional to 285,903, 394,287.84 and 178,482.96

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Solution

The fourth proportional to 285,903, 394,287.84 and 178,482.96 is: 246,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,903 : 394,287.84 = 178,482.96 : x
  2. Step 2: Convert to fraction form
    285,903/394,287.84 = 178,482.96/x
  3. Step 3: Cross multiply
    285,903x = 394,287.84 × 178,482.96
  4. Step 4: Simplify right side
    285,903x = 70,373,660,775.21
  5. Step 5: Solve for x
    x = 70,373,660,775.21/285,903
  6. Step 6: Final answer
    x = 246,145.23

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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.