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Finding the Fourth Proportional to 381,081.62, 525,854.72 and 219,988.56

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Solution

The fourth proportional to 381,081.62, 525,854.72 and 219,988.56 is: 303,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,081.62 : 525,854.72 = 219,988.56 : x
  2. Step 2: Convert to fraction form
    381,081.62/525,854.72 = 219,988.56/x
  3. Step 3: Cross multiply
    381,081.62x = 525,854.72 × 219,988.56
  4. Step 4: Simplify right side
    381,081.62x = 115,682,021,522.06
  5. Step 5: Solve for x
    x = 115,682,021,522.06/381,081.62
  6. Step 6: Final answer
    x = 303,562.33

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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.