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Finding the Fourth Proportional to 489,413.91, 733,903.91 and 261,654.27

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Solution

The fourth proportional to 489,413.91, 733,903.91 and 261,654.27 is: 392,365.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,413.91 : 733,903.91 = 261,654.27 : x
  2. Step 2: Convert to fraction form
    489,413.91/733,903.91 = 261,654.27/x
  3. Step 3: Cross multiply
    489,413.91x = 733,903.91 × 261,654.27
  4. Step 4: Simplify right side
    489,413.91x = 192,029,088,741.99
  5. Step 5: Solve for x
    x = 192,029,088,741.99/489,413.91
  6. Step 6: Final answer
    x = 392,365.41

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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.