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Finding the Fourth Proportional to 381,528.80, 526,556.40 and 211,817.60

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Solution

The fourth proportional to 381,528.80, 526,556.40 and 211,817.60 is: 292,334.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,528.80 : 526,556.40 = 211,817.60 : x
  2. Step 2: Convert to fraction form
    381,528.80/526,556.40 = 211,817.60/x
  3. Step 3: Cross multiply
    381,528.80x = 526,556.40 × 211,817.60
  4. Step 4: Simplify right side
    381,528.80x = 111,533,912,912.64
  5. Step 5: Solve for x
    x = 111,533,912,912.64/381,528.80
  6. Step 6: Final answer
    x = 292,334.19

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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.