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Finding the Fourth Proportional to 325,839.60, 488,978.10 and 192,578.40

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Solution

The fourth proportional to 325,839.60, 488,978.10 and 192,578.40 is: 288,996.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,839.60 : 488,978.10 = 192,578.40 : x
  2. Step 2: Convert to fraction form
    325,839.60/488,978.10 = 192,578.40/x
  3. Step 3: Cross multiply
    325,839.60x = 488,978.10 × 192,578.40
  4. Step 4: Simplify right side
    325,839.60x = 94,166,620,133.04
  5. Step 5: Solve for x
    x = 94,166,620,133.04/325,839.60
  6. Step 6: Final answer
    x = 288,996.86

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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.