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Finding the Fourth Proportional to 245,270.72, 338,474.78 and 143,302

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Solution

The fourth proportional to 245,270.72, 338,474.78 and 143,302 is: 197,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,270.72 : 338,474.78 = 143,302 : x
  2. Step 2: Convert to fraction form
    245,270.72/338,474.78 = 143,302/x
  3. Step 3: Cross multiply
    245,270.72x = 338,474.78 × 143,302
  4. Step 4: Simplify right side
    245,270.72x = 48,504,112,923.56
  5. Step 5: Solve for x
    x = 48,504,112,923.56/245,270.72
  6. Step 6: Final answer
    x = 197,757.45

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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.