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Finding the Fourth Proportional to 323,570, 485,450.76 and 165,909.08

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Solution

The fourth proportional to 323,570, 485,450.76 and 165,909.08 is: 248,912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,570 : 485,450.76 = 165,909.08 : x
  2. Step 2: Convert to fraction form
    323,570/485,450.76 = 165,909.08/x
  3. Step 3: Cross multiply
    323,570x = 485,450.76 × 165,909.08
  4. Step 4: Simplify right side
    323,570x = 80,540,688,976.90
  5. Step 5: Solve for x
    x = 80,540,688,976.90/323,570
  6. Step 6: Final answer
    x = 248,912.72

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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.