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Finding the Fourth Proportional to 381,065.73, 525,914.01 and 219,964.02

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Solution

The fourth proportional to 381,065.73, 525,914.01 and 219,964.02 is: 303,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,065.73 : 525,914.01 = 219,964.02 : x
  2. Step 2: Convert to fraction form
    381,065.73/525,914.01 = 219,964.02/x
  3. Step 3: Cross multiply
    381,065.73x = 525,914.01 × 219,964.02
  4. Step 4: Simplify right side
    381,065.73x = 115,682,159,813.92
  5. Step 5: Solve for x
    x = 115,682,159,813.92/381,065.73
  6. Step 6: Final answer
    x = 303,575.34

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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.