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Finding the Fourth Proportional to 321,413.25, 482,123.99 and 221,546.64

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Solution

The fourth proportional to 321,413.25, 482,123.99 and 221,546.64 is: 332,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,413.25 : 482,123.99 = 221,546.64 : x
  2. Step 2: Convert to fraction form
    321,413.25/482,123.99 = 221,546.64/x
  3. Step 3: Cross multiply
    321,413.25x = 482,123.99 × 221,546.64
  4. Step 4: Simplify right side
    321,413.25x = 106,812,950,047.89
  5. Step 5: Solve for x
    x = 106,812,950,047.89/321,413.25
  6. Step 6: Final answer
    x = 332,322.80

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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.