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Finding the Fourth Proportional to 489,211.60, 732,942.60 and 419,227.60

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Solution

The fourth proportional to 489,211.60, 732,942.60 and 419,227.60 is: 628,091.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,211.60 : 732,942.60 = 419,227.60 : x
  2. Step 2: Convert to fraction form
    489,211.60/732,942.60 = 419,227.60/x
  3. Step 3: Cross multiply
    489,211.60x = 732,942.60 × 419,227.60
  4. Step 4: Simplify right side
    489,211.60x = 307,269,767,135.76
  5. Step 5: Solve for x
    x = 307,269,767,135.76/489,211.60
  6. Step 6: Final answer
    x = 628,091.74

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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.