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Finding the Fourth Proportional to 381,092.46, 525,928.62 and 211,322.94

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Solution

The fourth proportional to 381,092.46, 525,928.62 and 211,322.94 is: 291,637.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,092.46 : 525,928.62 = 211,322.94 : x
  2. Step 2: Convert to fraction form
    381,092.46/525,928.62 = 211,322.94/x
  3. Step 3: Cross multiply
    381,092.46x = 525,928.62 × 211,322.94
  4. Step 4: Simplify right side
    381,092.46x = 111,140,782,208.54
  5. Step 5: Solve for x
    x = 111,140,782,208.54/381,092.46
  6. Step 6: Final answer
    x = 291,637.32

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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.