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Finding the Fourth Proportional to 382,361.32, 527,599.49 and 221,231.39

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Solution

The fourth proportional to 382,361.32, 527,599.49 and 221,231.39 is: 305,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,361.32 : 527,599.49 = 221,231.39 : x
  2. Step 2: Convert to fraction form
    382,361.32/527,599.49 = 221,231.39/x
  3. Step 3: Cross multiply
    382,361.32x = 527,599.49 × 221,231.39
  4. Step 4: Simplify right side
    382,361.32x = 116,721,570,408.07
  5. Step 5: Solve for x
    x = 116,721,570,408.07/382,361.32
  6. Step 6: Final answer
    x = 305,265.11

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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.