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Finding the Fourth Proportional to 206,449.80, 309,674.70 and 164,977.80

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Solution

The fourth proportional to 206,449.80, 309,674.70 and 164,977.80 is: 247,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,449.80 : 309,674.70 = 164,977.80 : x
  2. Step 2: Convert to fraction form
    206,449.80/309,674.70 = 164,977.80/x
  3. Step 3: Cross multiply
    206,449.80x = 309,674.70 × 164,977.80
  4. Step 4: Simplify right side
    206,449.80x = 51,089,450,721.66
  5. Step 5: Solve for x
    x = 51,089,450,721.66/206,449.80
  6. Step 6: Final answer
    x = 247,466.70

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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.