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Finding the Fourth Proportional to 254,352.30, 381,608.64 and 159,648.36

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Solution

The fourth proportional to 254,352.30, 381,608.64 and 159,648.36 is: 239,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,352.30 : 381,608.64 = 159,648.36 : x
  2. Step 2: Convert to fraction form
    254,352.30/381,608.64 = 159,648.36/x
  3. Step 3: Cross multiply
    254,352.30x = 381,608.64 × 159,648.36
  4. Step 4: Simplify right side
    254,352.30x = 60,923,193,537.83
  5. Step 5: Solve for x
    x = 60,923,193,537.83/254,352.30
  6. Step 6: Final answer
    x = 239,522.87

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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.