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Finding the Fourth Proportional to 381,832.75, 526,940.13 and 212,077.81

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Solution

The fourth proportional to 381,832.75, 526,940.13 and 212,077.81 is: 292,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,832.75 : 526,940.13 = 212,077.81 : x
  2. Step 2: Convert to fraction form
    381,832.75/526,940.13 = 212,077.81/x
  3. Step 3: Cross multiply
    381,832.75x = 526,940.13 × 212,077.81
  4. Step 4: Simplify right side
    381,832.75x = 111,752,308,771.52
  5. Step 5: Solve for x
    x = 111,752,308,771.52/381,832.75
  6. Step 6: Final answer
    x = 292,673.45

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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.