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Finding the Fourth Proportional to 489,953.50, 733,647.22 and 320,942.14

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Solution

The fourth proportional to 489,953.50, 733,647.22 and 320,942.14 is: 480,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,953.50 : 733,647.22 = 320,942.14 : x
  2. Step 2: Convert to fraction form
    489,953.50/733,647.22 = 320,942.14/x
  3. Step 3: Cross multiply
    489,953.50x = 733,647.22 × 320,942.14
  4. Step 4: Simplify right side
    489,953.50x = 235,458,308,791.85
  5. Step 5: Solve for x
    x = 235,458,308,791.85/489,953.50
  6. Step 6: Final answer
    x = 480,572.77

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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.