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Finding the Fourth Proportional to 382,754.97, 528,267.42 and 221,709.15

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Solution

The fourth proportional to 382,754.97, 528,267.42 and 221,709.15 is: 305,996.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,754.97 : 528,267.42 = 221,709.15 : x
  2. Step 2: Convert to fraction form
    382,754.97/528,267.42 = 221,709.15/x
  3. Step 3: Cross multiply
    382,754.97x = 528,267.42 × 221,709.15
  4. Step 4: Simplify right side
    382,754.97x = 117,121,720,660.89
  5. Step 5: Solve for x
    x = 117,121,720,660.89/382,754.97
  6. Step 6: Final answer
    x = 305,996.60

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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.