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Finding the Fourth Proportional to 259,383.27, 389,115.15 and 109,624.20

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Solution

The fourth proportional to 259,383.27, 389,115.15 and 109,624.20 is: 164,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,383.27 : 389,115.15 = 109,624.20 : x
  2. Step 2: Convert to fraction form
    259,383.27/389,115.15 = 109,624.20/x
  3. Step 3: Cross multiply
    259,383.27x = 389,115.15 × 109,624.20
  4. Step 4: Simplify right side
    259,383.27x = 42,656,437,026.63
  5. Step 5: Solve for x
    x = 42,656,437,026.63/259,383.27
  6. Step 6: Final answer
    x = 164,453.31

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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.