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Finding the Fourth Proportional to 442,843.72, 665,413.75 and 386,834.65

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Solution

The fourth proportional to 442,843.72, 665,413.75 and 386,834.65 is: 581,254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,843.72 : 665,413.75 = 386,834.65 : x
  2. Step 2: Convert to fraction form
    442,843.72/665,413.75 = 386,834.65/x
  3. Step 3: Cross multiply
    442,843.72x = 665,413.75 × 386,834.65
  4. Step 4: Simplify right side
    442,843.72x = 257,405,093,906.45
  5. Step 5: Solve for x
    x = 257,405,093,906.45/442,843.72
  6. Step 6: Final answer
    x = 581,254.93

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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.