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Finding the Fourth Proportional to 381,618.76, 526,607.50 and 211,839.48

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Solution

The fourth proportional to 381,618.76, 526,607.50 and 211,839.48 is: 292,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,618.76 : 526,607.50 = 211,839.48 : x
  2. Step 2: Convert to fraction form
    381,618.76/526,607.50 = 211,839.48/x
  3. Step 3: Cross multiply
    381,618.76x = 526,607.50 × 211,839.48
  4. Step 4: Simplify right side
    381,618.76x = 111,556,258,964.10
  5. Step 5: Solve for x
    x = 111,556,258,964.10/381,618.76
  6. Step 6: Final answer
    x = 292,323.83

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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.