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Finding the Fourth Proportional to 319,857.91, 441,044.06 and 261,532.67

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Solution

The fourth proportional to 319,857.91, 441,044.06 and 261,532.67 is: 360,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,857.91 : 441,044.06 = 261,532.67 : x
  2. Step 2: Convert to fraction form
    319,857.91/441,044.06 = 261,532.67/x
  3. Step 3: Cross multiply
    319,857.91x = 441,044.06 × 261,532.67
  4. Step 4: Simplify right side
    319,857.91x = 115,347,427,086.56
  5. Step 5: Solve for x
    x = 115,347,427,086.56/319,857.91
  6. Step 6: Final answer
    x = 360,620.84

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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.