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Finding the Fourth Proportional to 319,057.94, 478,467.74 and 105,786.74

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Solution

The fourth proportional to 319,057.94, 478,467.74 and 105,786.74 is: 158,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,057.94 : 478,467.74 = 105,786.74 : x
  2. Step 2: Convert to fraction form
    319,057.94/478,467.74 = 105,786.74/x
  3. Step 3: Cross multiply
    319,057.94x = 478,467.74 × 105,786.74
  4. Step 4: Simplify right side
    319,057.94x = 50,615,542,409.77
  5. Step 5: Solve for x
    x = 50,615,542,409.77/319,057.94
  6. Step 6: Final answer
    x = 158,640.60

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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.