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Finding the Fourth Proportional to 590,148, 814,413.96 and 321,876

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Solution

The fourth proportional to 590,148, 814,413.96 and 321,876 is: 444,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,148 : 814,413.96 = 321,876 : x
  2. Step 2: Convert to fraction form
    590,148/814,413.96 = 321,876/x
  3. Step 3: Cross multiply
    590,148x = 814,413.96 × 321,876
  4. Step 4: Simplify right side
    590,148x = 262,140,307,788.96
  5. Step 5: Solve for x
    x = 262,140,307,788.96/590,148
  6. Step 6: Final answer
    x = 444,194.18

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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.