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Finding the Fourth Proportional to 378,903.60, 568,383.30 and 109,020.78

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Solution

The fourth proportional to 378,903.60, 568,383.30 and 109,020.78 is: 163,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,903.60 : 568,383.30 = 109,020.78 : x
  2. Step 2: Convert to fraction form
    378,903.60/568,383.30 = 109,020.78/x
  3. Step 3: Cross multiply
    378,903.60x = 568,383.30 × 109,020.78
  4. Step 4: Simplify right side
    378,903.60x = 61,965,590,704.97
  5. Step 5: Solve for x
    x = 61,965,590,704.97/378,903.60
  6. Step 6: Final answer
    x = 163,539.20

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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.