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Finding the Fourth Proportional to 393,121.72, 589,955.21 and 179,915.68

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Solution

The fourth proportional to 393,121.72, 589,955.21 and 179,915.68 is: 269,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,121.72 : 589,955.21 = 179,915.68 : x
  2. Step 2: Convert to fraction form
    393,121.72/589,955.21 = 179,915.68/x
  3. Step 3: Cross multiply
    393,121.72x = 589,955.21 × 179,915.68
  4. Step 4: Simplify right side
    393,121.72x = 106,142,191,751.59
  5. Step 5: Solve for x
    x = 106,142,191,751.59/393,121.72
  6. Step 6: Final answer
    x = 269,998.29

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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.