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Finding the Fourth Proportional to 322,848, 445,409.91 and 201,943.35

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Solution

The fourth proportional to 322,848, 445,409.91 and 201,943.35 is: 278,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,848 : 445,409.91 = 201,943.35 : x
  2. Step 2: Convert to fraction form
    322,848/445,409.91 = 201,943.35/x
  3. Step 3: Cross multiply
    322,848x = 445,409.91 × 201,943.35
  4. Step 4: Simplify right side
    322,848x = 89,947,569,348.60
  5. Step 5: Solve for x
    x = 89,947,569,348.60/322,848
  6. Step 6: Final answer
    x = 278,606.56

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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.