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Finding the Fourth Proportional to 381,054.54, 525,878.97 and 211,288.68

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Solution

The fourth proportional to 381,054.54, 525,878.97 and 211,288.68 is: 291,591.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,054.54 : 525,878.97 = 211,288.68 : x
  2. Step 2: Convert to fraction form
    381,054.54/525,878.97 = 211,288.68/x
  3. Step 3: Cross multiply
    381,054.54x = 525,878.97 × 211,288.68
  4. Step 4: Simplify right side
    381,054.54x = 111,112,273,411.06
  5. Step 5: Solve for x
    x = 111,112,273,411.06/381,054.54
  6. Step 6: Final answer
    x = 291,591.52

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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.