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Finding the Fourth Proportional to 355,889.82, 491,161.37 and 212,646.81

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Solution

The fourth proportional to 355,889.82, 491,161.37 and 212,646.81 is: 293,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,889.82 : 491,161.37 = 212,646.81 : x
  2. Step 2: Convert to fraction form
    355,889.82/491,161.37 = 212,646.81/x
  3. Step 3: Cross multiply
    355,889.82x = 491,161.37 × 212,646.81
  4. Step 4: Simplify right side
    355,889.82x = 104,443,897,462.50
  5. Step 5: Solve for x
    x = 104,443,897,462.50/355,889.82
  6. Step 6: Final answer
    x = 293,472.56

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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.