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Finding the Fourth Proportional to 381,449.94, 525,200.67 and 323,965.86

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Solution

The fourth proportional to 381,449.94, 525,200.67 and 323,965.86 is: 446,053.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,449.94 : 525,200.67 = 323,965.86 : x
  2. Step 2: Convert to fraction form
    381,449.94/525,200.67 = 323,965.86/x
  3. Step 3: Cross multiply
    381,449.94x = 525,200.67 × 323,965.86
  4. Step 4: Simplify right side
    381,449.94x = 170,147,086,729.13
  5. Step 5: Solve for x
    x = 170,147,086,729.13/381,449.94
  6. Step 6: Final answer
    x = 446,053.52

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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.