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Finding the Fourth Proportional to 492,805.80, 739,208.70 and 442,942.20

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Solution

The fourth proportional to 492,805.80, 739,208.70 and 442,942.20 is: 664,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,805.80 : 739,208.70 = 442,942.20 : x
  2. Step 2: Convert to fraction form
    492,805.80/739,208.70 = 442,942.20/x
  3. Step 3: Cross multiply
    492,805.80x = 739,208.70 × 442,942.20
  4. Step 4: Simplify right side
    492,805.80x = 327,426,727,837.14
  5. Step 5: Solve for x
    x = 327,426,727,837.14/492,805.80
  6. Step 6: Final answer
    x = 664,413.30

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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.