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Finding the Fourth Proportional to 354,970.44, 489,852.72 and 193,821.12

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Solution

The fourth proportional to 354,970.44, 489,852.72 and 193,821.12 is: 267,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,970.44 : 489,852.72 = 193,821.12 : x
  2. Step 2: Convert to fraction form
    354,970.44/489,852.72 = 193,821.12/x
  3. Step 3: Cross multiply
    354,970.44x = 489,852.72 × 193,821.12
  4. Step 4: Simplify right side
    354,970.44x = 94,943,802,825.45
  5. Step 5: Solve for x
    x = 94,943,802,825.45/354,970.44
  6. Step 6: Final answer
    x = 267,469.60

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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.