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Finding the Fourth Proportional to 382,668, 528,081.84 and 223,692

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Solution

The fourth proportional to 382,668, 528,081.84 and 223,692 is: 308,694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,668 : 528,081.84 = 223,692 : x
  2. Step 2: Convert to fraction form
    382,668/528,081.84 = 223,692/x
  3. Step 3: Cross multiply
    382,668x = 528,081.84 × 223,692
  4. Step 4: Simplify right side
    382,668x = 118,127,682,953.28
  5. Step 5: Solve for x
    x = 118,127,682,953.28/382,668
  6. Step 6: Final answer
    x = 308,694.96

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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.