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Finding the Fourth Proportional to 381,119.20, 525,976.80 and 211,408

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Solution

The fourth proportional to 381,119.20, 525,976.80 and 211,408 is: 291,760.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,119.20 : 525,976.80 = 211,408 : x
  2. Step 2: Convert to fraction form
    381,119.20/525,976.80 = 211,408/x
  3. Step 3: Cross multiply
    381,119.20x = 525,976.80 × 211,408
  4. Step 4: Simplify right side
    381,119.20x = 111,195,703,334.40
  5. Step 5: Solve for x
    x = 111,195,703,334.40/381,119.20
  6. Step 6: Final answer
    x = 291,760.96

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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.