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Finding the Fourth Proportional to 392,744.88, 589,119.84 and 167,916

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Solution

The fourth proportional to 392,744.88, 589,119.84 and 167,916 is: 251,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,744.88 : 589,119.84 = 167,916 : x
  2. Step 2: Convert to fraction form
    392,744.88/589,119.84 = 167,916/x
  3. Step 3: Cross multiply
    392,744.88x = 589,119.84 × 167,916
  4. Step 4: Simplify right side
    392,744.88x = 98,922,647,053.44
  5. Step 5: Solve for x
    x = 98,922,647,053.44/392,744.88
  6. Step 6: Final answer
    x = 251,875.08

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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.