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Finding the Fourth Proportional to 320,830.88, 481,080.36 and 140,842.64

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Solution

The fourth proportional to 320,830.88, 481,080.36 and 140,842.64 is: 211,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,830.88 : 481,080.36 = 140,842.64 : x
  2. Step 2: Convert to fraction form
    320,830.88/481,080.36 = 140,842.64/x
  3. Step 3: Cross multiply
    320,830.88x = 481,080.36 × 140,842.64
  4. Step 4: Simplify right side
    320,830.88x = 67,756,627,954.55
  5. Step 5: Solve for x
    x = 67,756,627,954.55/320,830.88
  6. Step 6: Final answer
    x = 211,191.10

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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.