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Finding the Fourth Proportional to 382,608.14, 528,056.97 and 221,568.38

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Solution

The fourth proportional to 382,608.14, 528,056.97 and 221,568.38 is: 305,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,608.14 : 528,056.97 = 221,568.38 : x
  2. Step 2: Convert to fraction form
    382,608.14/528,056.97 = 221,568.38/x
  3. Step 3: Cross multiply
    382,608.14x = 528,056.97 × 221,568.38
  4. Step 4: Simplify right side
    382,608.14x = 117,000,727,390.61
  5. Step 5: Solve for x
    x = 117,000,727,390.61/382,608.14
  6. Step 6: Final answer
    x = 305,797.80

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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.