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Finding the Fourth Proportional to 381,216.82, 526,075.41 and 211,446.58

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Solution

The fourth proportional to 381,216.82, 526,075.41 and 211,446.58 is: 291,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,216.82 : 526,075.41 = 211,446.58 : x
  2. Step 2: Convert to fraction form
    381,216.82/526,075.41 = 211,446.58/x
  3. Step 3: Cross multiply
    381,216.82x = 526,075.41 × 211,446.58
  4. Step 4: Simplify right side
    381,216.82x = 111,236,846,266.60
  5. Step 5: Solve for x
    x = 111,236,846,266.60/381,216.82
  6. Step 6: Final answer
    x = 291,794.17

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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.