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Finding the Fourth Proportional to 381,794.88, 572,693.85 and 129,076.71

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Solution

The fourth proportional to 381,794.88, 572,693.85 and 129,076.71 is: 193,615.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,794.88 : 572,693.85 = 129,076.71 : x
  2. Step 2: Convert to fraction form
    381,794.88/572,693.85 = 129,076.71/x
  3. Step 3: Cross multiply
    381,794.88x = 572,693.85 × 129,076.71
  4. Step 4: Simplify right side
    381,794.88x = 73,921,437,995.23
  5. Step 5: Solve for x
    x = 73,921,437,995.23/381,794.88
  6. Step 6: Final answer
    x = 193,615.58

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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.