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Finding the Fourth Proportional to 589,413.72, 813,391.02 and 321,141.72

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Solution

The fourth proportional to 589,413.72, 813,391.02 and 321,141.72 is: 443,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,413.72 : 813,391.02 = 321,141.72 : x
  2. Step 2: Convert to fraction form
    589,413.72/813,391.02 = 321,141.72/x
  3. Step 3: Cross multiply
    589,413.72x = 813,391.02 × 321,141.72
  4. Step 4: Simplify right side
    589,413.72x = 261,213,791,195.35
  5. Step 5: Solve for x
    x = 261,213,791,195.35/589,413.72
  6. Step 6: Final answer
    x = 443,175.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.