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Finding the Fourth Proportional to 303,180.78, 418,391.47 and 167,218.41

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Solution

The fourth proportional to 303,180.78, 418,391.47 and 167,218.41 is: 230,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,180.78 : 418,391.47 = 167,218.41 : x
  2. Step 2: Convert to fraction form
    303,180.78/418,391.47 = 167,218.41/x
  3. Step 3: Cross multiply
    303,180.78x = 418,391.47 × 167,218.41
  4. Step 4: Simplify right side
    303,180.78x = 69,962,756,370.96
  5. Step 5: Solve for x
    x = 69,962,756,370.96/303,180.78
  6. Step 6: Final answer
    x = 230,762.51

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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.