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Finding the Fourth Proportional to 381,003.21, 525,790.37 and 208,936.89

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Solution

The fourth proportional to 381,003.21, 525,790.37 and 208,936.89 is: 288,336.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,003.21 : 525,790.37 = 208,936.89 : x
  2. Step 2: Convert to fraction form
    381,003.21/525,790.37 = 208,936.89/x
  3. Step 3: Cross multiply
    381,003.21x = 525,790.37 × 208,936.89
  4. Step 4: Simplify right side
    381,003.21x = 109,857,003,655.07
  5. Step 5: Solve for x
    x = 109,857,003,655.07/381,003.21
  6. Step 6: Final answer
    x = 288,336.16

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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.