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Finding the Fourth Proportional to 543,351.54, 815,001 and 206,365.89

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Solution

The fourth proportional to 543,351.54, 815,001 and 206,365.89 is: 309,538.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,351.54 : 815,001 = 206,365.89 : x
  2. Step 2: Convert to fraction form
    543,351.54/815,001 = 206,365.89/x
  3. Step 3: Cross multiply
    543,351.54x = 815,001 × 206,365.89
  4. Step 4: Simplify right side
    543,351.54x = 168,188,406,715.89
  5. Step 5: Solve for x
    x = 168,188,406,715.89/543,351.54
  6. Step 6: Final answer
    x = 309,538.84

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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.