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Finding the Fourth Proportional to 381,359.50, 524,409.87 and 330,971.02

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Solution

The fourth proportional to 381,359.50, 524,409.87 and 330,971.02 is: 455,120.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,359.50 : 524,409.87 = 330,971.02 : x
  2. Step 2: Convert to fraction form
    381,359.50/524,409.87 = 330,971.02/x
  3. Step 3: Cross multiply
    381,359.50x = 524,409.87 × 330,971.02
  4. Step 4: Simplify right side
    381,359.50x = 173,564,469,571.97
  5. Step 5: Solve for x
    x = 173,564,469,571.97/381,359.50
  6. Step 6: Final answer
    x = 455,120.35

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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.