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Finding the Fourth Proportional to 381,026.97, 525,795.30 and 208,911.69

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Solution

The fourth proportional to 381,026.97, 525,795.30 and 208,911.69 is: 288,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,026.97 : 525,795.30 = 208,911.69 : x
  2. Step 2: Convert to fraction form
    381,026.97/525,795.30 = 208,911.69/x
  3. Step 3: Cross multiply
    381,026.97x = 525,795.30 × 208,911.69
  4. Step 4: Simplify right side
    381,026.97x = 109,844,784,717.06
  5. Step 5: Solve for x
    x = 109,844,784,717.06/381,026.97
  6. Step 6: Final answer
    x = 288,286.11

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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.