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Finding the Fourth Proportional to 361,965.29, 543,040.16 and 255,556.53

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Solution

The fourth proportional to 361,965.29, 543,040.16 and 255,556.53 is: 383,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,965.29 : 543,040.16 = 255,556.53 : x
  2. Step 2: Convert to fraction form
    361,965.29/543,040.16 = 255,556.53/x
  3. Step 3: Cross multiply
    361,965.29x = 543,040.16 × 255,556.53
  4. Step 4: Simplify right side
    361,965.29x = 138,777,457,662.46
  5. Step 5: Solve for x
    x = 138,777,457,662.46/361,965.29
  6. Step 6: Final answer
    x = 383,399.91

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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.