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Finding the Fourth Proportional to 354,221.30, 531,410.88 and 129,576.76

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Solution

The fourth proportional to 354,221.30, 531,410.88 and 129,576.76 is: 194,394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,221.30 : 531,410.88 = 129,576.76 : x
  2. Step 2: Convert to fraction form
    354,221.30/531,410.88 = 129,576.76/x
  3. Step 3: Cross multiply
    354,221.30x = 531,410.88 × 129,576.76
  4. Step 4: Simplify right side
    354,221.30x = 68,858,501,476.85
  5. Step 5: Solve for x
    x = 68,858,501,476.85/354,221.30
  6. Step 6: Final answer
    x = 194,394.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.