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Finding the Fourth Proportional to 198,986.40, 298,479.60 and 159,620.40

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Solution

The fourth proportional to 198,986.40, 298,479.60 and 159,620.40 is: 239,430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,986.40 : 298,479.60 = 159,620.40 : x
  2. Step 2: Convert to fraction form
    198,986.40/298,479.60 = 159,620.40/x
  3. Step 3: Cross multiply
    198,986.40x = 298,479.60 × 159,620.40
  4. Step 4: Simplify right side
    198,986.40x = 47,643,433,143.84
  5. Step 5: Solve for x
    x = 47,643,433,143.84/198,986.40
  6. Step 6: Final answer
    x = 239,430.60

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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.