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Finding the Fourth Proportional to 381,047.21, 525,852.39 and 208,954.94

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Solution

The fourth proportional to 381,047.21, 525,852.39 and 208,954.94 is: 288,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,047.21 : 525,852.39 = 208,954.94 : x
  2. Step 2: Convert to fraction form
    381,047.21/525,852.39 = 208,954.94/x
  3. Step 3: Cross multiply
    381,047.21x = 525,852.39 × 208,954.94
  4. Step 4: Simplify right side
    381,047.21x = 109,879,454,878.41
  5. Step 5: Solve for x
    x = 109,879,454,878.41/381,047.21
  6. Step 6: Final answer
    x = 288,361.78

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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.