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Finding the Fourth Proportional to 319,757.76, 479,684 and 106,456

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Solution

The fourth proportional to 319,757.76, 479,684 and 106,456 is: 159,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,757.76 : 479,684 = 106,456 : x
  2. Step 2: Convert to fraction form
    319,757.76/479,684 = 106,456/x
  3. Step 3: Cross multiply
    319,757.76x = 479,684 × 106,456
  4. Step 4: Simplify right side
    319,757.76x = 51,065,239,904
  5. Step 5: Solve for x
    x = 51,065,239,904/319,757.76
  6. Step 6: Final answer
    x = 159,699.77

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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.