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Finding the Fourth Proportional to 413,229.69, 619,800.78 and 132,725.07

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Solution

The fourth proportional to 413,229.69, 619,800.78 and 132,725.07 is: 199,073.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,229.69 : 619,800.78 = 132,725.07 : x
  2. Step 2: Convert to fraction form
    413,229.69/619,800.78 = 132,725.07/x
  3. Step 3: Cross multiply
    413,229.69x = 619,800.78 × 132,725.07
  4. Step 4: Simplify right side
    413,229.69x = 82,263,101,911.55
  5. Step 5: Solve for x
    x = 82,263,101,911.55/413,229.69
  6. Step 6: Final answer
    x = 199,073.55

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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.