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Finding the Fourth Proportional to 543,735.80, 815,720.42 and 211,311.80

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Solution

The fourth proportional to 543,735.80, 815,720.42 and 211,311.80 is: 317,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,735.80 : 815,720.42 = 211,311.80 : x
  2. Step 2: Convert to fraction form
    543,735.80/815,720.42 = 211,311.80/x
  3. Step 3: Cross multiply
    543,735.80x = 815,720.42 × 211,311.80
  4. Step 4: Simplify right side
    543,735.80x = 172,371,350,246.96
  5. Step 5: Solve for x
    x = 172,371,350,246.96/543,735.80
  6. Step 6: Final answer
    x = 317,013.06

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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.