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Finding the Fourth Proportional to 381,450.94, 525,202.05 and 323,966.86

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Solution

The fourth proportional to 381,450.94, 525,202.05 and 323,966.86 is: 446,054.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,450.94 : 525,202.05 = 323,966.86 : x
  2. Step 2: Convert to fraction form
    381,450.94/525,202.05 = 323,966.86/x
  3. Step 3: Cross multiply
    381,450.94x = 525,202.05 × 323,966.86
  4. Step 4: Simplify right side
    381,450.94x = 170,148,059,004.06
  5. Step 5: Solve for x
    x = 170,148,059,004.06/381,450.94
  6. Step 6: Final answer
    x = 446,054.90

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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.