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Finding the Fourth Proportional to 279,409.48, 419,103.90 and 121,638.28

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Solution

The fourth proportional to 279,409.48, 419,103.90 and 121,638.28 is: 182,452.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,409.48 : 419,103.90 = 121,638.28 : x
  2. Step 2: Convert to fraction form
    279,409.48/419,103.90 = 121,638.28/x
  3. Step 3: Cross multiply
    279,409.48x = 419,103.90 × 121,638.28
  4. Step 4: Simplify right side
    279,409.48x = 50,979,077,537.29
  5. Step 5: Solve for x
    x = 50,979,077,537.29/279,409.48
  6. Step 6: Final answer
    x = 182,452.93

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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.