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Finding the Fourth Proportional to 381,091.92, 525,881.88 and 211,320.24

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Solution

The fourth proportional to 381,091.92, 525,881.88 and 211,320.24 is: 291,608.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,091.92 : 525,881.88 = 211,320.24 : x
  2. Step 2: Convert to fraction form
    381,091.92/525,881.88 = 211,320.24/x
  3. Step 3: Cross multiply
    381,091.92x = 525,881.88 × 211,320.24
  4. Step 4: Simplify right side
    381,091.92x = 111,129,485,093.25
  5. Step 5: Solve for x
    x = 111,129,485,093.25/381,091.92
  6. Step 6: Final answer
    x = 291,608.09

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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.