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Finding the Fourth Proportional to 266,013.23, 399,020.30 and 213,042.12

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Solution

The fourth proportional to 266,013.23, 399,020.30 and 213,042.12 is: 319,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,013.23 : 399,020.30 = 213,042.12 : x
  2. Step 2: Convert to fraction form
    266,013.23/399,020.30 = 213,042.12/x
  3. Step 3: Cross multiply
    266,013.23x = 399,020.30 × 213,042.12
  4. Step 4: Simplify right side
    266,013.23x = 85,008,128,872.41
  5. Step 5: Solve for x
    x = 85,008,128,872.41/266,013.23
  6. Step 6: Final answer
    x = 319,563.54

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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.