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Finding the Fourth Proportional to 540,413.98, 809,996.90 and 203,239.40

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Solution

The fourth proportional to 540,413.98, 809,996.90 and 203,239.40 is: 304,624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,413.98 : 809,996.90 = 203,239.40 : x
  2. Step 2: Convert to fraction form
    540,413.98/809,996.90 = 203,239.40/x
  3. Step 3: Cross multiply
    540,413.98x = 809,996.90 × 203,239.40
  4. Step 4: Simplify right side
    540,413.98x = 164,623,278,891.68
  5. Step 5: Solve for x
    x = 164,623,278,891.68/540,413.98
  6. Step 6: Final answer
    x = 304,624.39

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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.