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Finding the Fourth Proportional to 381,087.84, 525,906.56 and 209,020.80

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Solution

The fourth proportional to 381,087.84, 525,906.56 and 209,020.80 is: 288,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,087.84 : 525,906.56 = 209,020.80 : x
  2. Step 2: Convert to fraction form
    381,087.84/525,906.56 = 209,020.80/x
  3. Step 3: Cross multiply
    381,087.84x = 525,906.56 × 209,020.80
  4. Step 4: Simplify right side
    381,087.84x = 109,925,409,896.45
  5. Step 5: Solve for x
    x = 109,925,409,896.45/381,087.84
  6. Step 6: Final answer
    x = 288,451.63

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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.