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Finding the Fourth Proportional to 303,683.06, 419,085.76 and 167,720.41

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Solution

The fourth proportional to 303,683.06, 419,085.76 and 167,720.41 is: 231,455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,683.06 : 419,085.76 = 167,720.41 : x
  2. Step 2: Convert to fraction form
    303,683.06/419,085.76 = 167,720.41/x
  3. Step 3: Cross multiply
    303,683.06x = 419,085.76 × 167,720.41
  4. Step 4: Simplify right side
    303,683.06x = 70,289,235,492.36
  5. Step 5: Solve for x
    x = 70,289,235,492.36/303,683.06
  6. Step 6: Final answer
    x = 231,455.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.