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Finding the Fourth Proportional to 382,778.62, 528,200.13 and 221,644.60

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Solution

The fourth proportional to 382,778.62, 528,200.13 and 221,644.60 is: 305,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,778.62 : 528,200.13 = 221,644.60 : x
  2. Step 2: Convert to fraction form
    382,778.62/528,200.13 = 221,644.60/x
  3. Step 3: Cross multiply
    382,778.62x = 528,200.13 × 221,644.60
  4. Step 4: Simplify right side
    382,778.62x = 117,072,706,533.80
  5. Step 5: Solve for x
    x = 117,072,706,533.80/382,778.62
  6. Step 6: Final answer
    x = 305,849.65

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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.