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Finding the Fourth Proportional to 382,364.56, 527,603.97 and 221,234.65

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Solution

The fourth proportional to 382,364.56, 527,603.97 and 221,234.65 is: 305,269.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,364.56 : 527,603.97 = 221,234.65 : x
  2. Step 2: Convert to fraction form
    382,364.56/527,603.97 = 221,234.65/x
  3. Step 3: Cross multiply
    382,364.56x = 527,603.97 × 221,234.65
  4. Step 4: Simplify right side
    382,364.56x = 116,724,279,641.56
  5. Step 5: Solve for x
    x = 116,724,279,641.56/382,364.56
  6. Step 6: Final answer
    x = 305,269.61

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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.