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Finding the Fourth Proportional to 381,072.75, 525,842.50 and 219,979.70

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Solution

The fourth proportional to 381,072.75, 525,842.50 and 219,979.70 is: 303,550.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,072.75 : 525,842.50 = 219,979.70 : x
  2. Step 2: Convert to fraction form
    381,072.75/525,842.50 = 219,979.70/x
  3. Step 3: Cross multiply
    381,072.75x = 525,842.50 × 219,979.70
  4. Step 4: Simplify right side
    381,072.75x = 115,674,675,397.25
  5. Step 5: Solve for x
    x = 115,674,675,397.25/381,072.75
  6. Step 6: Final answer
    x = 303,550.11

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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.