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Finding the Fourth Proportional to 259,451.28, 389,044.08 and 119,088

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Solution

The fourth proportional to 259,451.28, 389,044.08 and 119,088 is: 178,571.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,451.28 : 389,044.08 = 119,088 : x
  2. Step 2: Convert to fraction form
    259,451.28/389,044.08 = 119,088/x
  3. Step 3: Cross multiply
    259,451.28x = 389,044.08 × 119,088
  4. Step 4: Simplify right side
    259,451.28x = 46,330,481,399.04
  5. Step 5: Solve for x
    x = 46,330,481,399.04/259,451.28
  6. Step 6: Final answer
    x = 178,571.03

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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.