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Finding the Fourth Proportional to 355,906.32, 491,102.16 and 212,635.92

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Solution

The fourth proportional to 355,906.32, 491,102.16 and 212,635.92 is: 293,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,906.32 : 491,102.16 = 212,635.92 : x
  2. Step 2: Convert to fraction form
    355,906.32/491,102.16 = 212,635.92/x
  3. Step 3: Cross multiply
    355,906.32x = 491,102.16 × 212,635.92
  4. Step 4: Simplify right side
    355,906.32x = 104,425,959,605.59
  5. Step 5: Solve for x
    x = 104,425,959,605.59/355,906.32
  6. Step 6: Final answer
    x = 293,408.56

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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.