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Finding the Fourth Proportional to 303,862.56, 419,321.52 and 167,894.34

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Solution

The fourth proportional to 303,862.56, 419,321.52 and 167,894.34 is: 231,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,862.56 : 419,321.52 = 167,894.34 : x
  2. Step 2: Convert to fraction form
    303,862.56/419,321.52 = 167,894.34/x
  3. Step 3: Cross multiply
    303,862.56x = 419,321.52 × 167,894.34
  4. Step 4: Simplify right side
    303,862.56x = 70,401,709,848.20
  5. Step 5: Solve for x
    x = 70,401,709,848.20/303,862.56
  6. Step 6: Final answer
    x = 231,689.32

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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.