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Finding the Fourth Proportional to 303,769.07, 419,205.21 and 167,802.47

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Solution

The fourth proportional to 303,769.07, 419,205.21 and 167,802.47 is: 231,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,769.07 : 419,205.21 = 167,802.47 : x
  2. Step 2: Convert to fraction form
    303,769.07/419,205.21 = 167,802.47/x
  3. Step 3: Cross multiply
    303,769.07x = 419,205.21 × 167,802.47
  4. Step 4: Simplify right side
    303,769.07x = 70,343,669,674.87
  5. Step 5: Solve for x
    x = 70,343,669,674.87/303,769.07
  6. Step 6: Final answer
    x = 231,569.56

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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.