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Finding the Fourth Proportional to 391,815.36, 587,722.92 and 181,338.48

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Solution

The fourth proportional to 391,815.36, 587,722.92 and 181,338.48 is: 272,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,815.36 : 587,722.92 = 181,338.48 : x
  2. Step 2: Convert to fraction form
    391,815.36/587,722.92 = 181,338.48/x
  3. Step 3: Cross multiply
    391,815.36x = 587,722.92 × 181,338.48
  4. Step 4: Simplify right side
    391,815.36x = 106,576,780,973.96
  5. Step 5: Solve for x
    x = 106,576,780,973.96/391,815.36
  6. Step 6: Final answer
    x = 272,007.66

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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.