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Finding the Fourth Proportional to 383,120.84, 528,706.72 and 222,069.30

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Solution

The fourth proportional to 383,120.84, 528,706.72 and 222,069.30 is: 306,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,120.84 : 528,706.72 = 222,069.30 : x
  2. Step 2: Convert to fraction form
    383,120.84/528,706.72 = 222,069.30/x
  3. Step 3: Cross multiply
    383,120.84x = 528,706.72 × 222,069.30
  4. Step 4: Simplify right side
    383,120.84x = 117,409,531,235.47
  5. Step 5: Solve for x
    x = 117,409,531,235.47/383,120.84
  6. Step 6: Final answer
    x = 306,455.61

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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.