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Finding the Fourth Proportional to 392,940.08, 589,638.82 and 165,219.21

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Solution

The fourth proportional to 392,940.08, 589,638.82 and 165,219.21 is: 247,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,940.08 : 589,638.82 = 165,219.21 : x
  2. Step 2: Convert to fraction form
    392,940.08/589,638.82 = 165,219.21/x
  3. Step 3: Cross multiply
    392,940.08x = 589,638.82 × 165,219.21
  4. Step 4: Simplify right side
    392,940.08x = 97,419,657,077.54
  5. Step 5: Solve for x
    x = 97,419,657,077.54/392,940.08
  6. Step 6: Final answer
    x = 247,924.97

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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.