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Finding the Fourth Proportional to 266,072.70, 399,109.05 and 206,586.30

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Solution

The fourth proportional to 266,072.70, 399,109.05 and 206,586.30 is: 309,879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,072.70 : 399,109.05 = 206,586.30 : x
  2. Step 2: Convert to fraction form
    266,072.70/399,109.05 = 206,586.30/x
  3. Step 3: Cross multiply
    266,072.70x = 399,109.05 × 206,586.30
  4. Step 4: Simplify right side
    266,072.70x = 82,450,461,936.02
  5. Step 5: Solve for x
    x = 82,450,461,936.02/266,072.70
  6. Step 6: Final answer
    x = 309,879.45

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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.