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Finding the Fourth Proportional to 279,743.56, 419,117.80 and 161,169.90

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Solution

The fourth proportional to 279,743.56, 419,117.80 and 161,169.90 is: 241,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,743.56 : 419,117.80 = 161,169.90 : x
  2. Step 2: Convert to fraction form
    279,743.56/419,117.80 = 161,169.90/x
  3. Step 3: Cross multiply
    279,743.56x = 419,117.80 × 161,169.90
  4. Step 4: Simplify right side
    279,743.56x = 67,549,173,914.22
  5. Step 5: Solve for x
    x = 67,549,173,914.22/279,743.56
  6. Step 6: Final answer
    x = 241,468.20

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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.