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Finding the Fourth Proportional to 381,508.31, 526,506.08 and 211,742.44

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Solution

The fourth proportional to 381,508.31, 526,506.08 and 211,742.44 is: 292,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,508.31 : 526,506.08 = 211,742.44 : x
  2. Step 2: Convert to fraction form
    381,508.31/526,506.08 = 211,742.44/x
  3. Step 3: Cross multiply
    381,508.31x = 526,506.08 × 211,742.44
  4. Step 4: Simplify right side
    381,508.31x = 111,483,679,679.06
  5. Step 5: Solve for x
    x = 111,483,679,679.06/381,508.31
  6. Step 6: Final answer
    x = 292,218.22

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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.