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Finding the Fourth Proportional to 279,944.01, 419,829.89 and 80,210.88

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Solution

The fourth proportional to 279,944.01, 419,829.89 and 80,210.88 is: 120,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,944.01 : 419,829.89 = 80,210.88 : x
  2. Step 2: Convert to fraction form
    279,944.01/419,829.89 = 80,210.88/x
  3. Step 3: Cross multiply
    279,944.01x = 419,829.89 × 80,210.88
  4. Step 4: Simplify right side
    279,944.01x = 33,674,924,526.15
  5. Step 5: Solve for x
    x = 33,674,924,526.15/279,944.01
  6. Step 6: Final answer
    x = 120,291.64

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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.