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Finding the Fourth Proportional to 381,427.18, 526,372.62 and 211,664.14

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Solution

The fourth proportional to 381,427.18, 526,372.62 and 211,664.14 is: 292,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,427.18 : 526,372.62 = 211,664.14 : x
  2. Step 2: Convert to fraction form
    381,427.18/526,372.62 = 211,664.14/x
  3. Step 3: Cross multiply
    381,427.18x = 526,372.62 × 211,664.14
  4. Step 4: Simplify right side
    381,427.18x = 111,414,207,931.85
  5. Step 5: Solve for x
    x = 111,414,207,931.85/381,427.18
  6. Step 6: Final answer
    x = 292,098.24

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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.