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Finding the Fourth Proportional to 489,845.50, 676,305.60 and 298,969.54

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Solution

The fourth proportional to 489,845.50, 676,305.60 and 298,969.54 is: 412,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,845.50 : 676,305.60 = 298,969.54 : x
  2. Step 2: Convert to fraction form
    489,845.50/676,305.60 = 298,969.54/x
  3. Step 3: Cross multiply
    489,845.50x = 676,305.60 × 298,969.54
  4. Step 4: Simplify right side
    489,845.50x = 202,194,774,131.42
  5. Step 5: Solve for x
    x = 202,194,774,131.42/489,845.50
  6. Step 6: Final answer
    x = 412,772.55

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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.