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Finding the Fourth Proportional to 257,241.24, 385,876.44 and 79,773.48

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Solution

The fourth proportional to 257,241.24, 385,876.44 and 79,773.48 is: 119,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,241.24 : 385,876.44 = 79,773.48 : x
  2. Step 2: Convert to fraction form
    257,241.24/385,876.44 = 79,773.48/x
  3. Step 3: Cross multiply
    257,241.24x = 385,876.44 × 79,773.48
  4. Step 4: Simplify right side
    257,241.24x = 30,782,705,204.97
  5. Step 5: Solve for x
    x = 30,782,705,204.97/257,241.24
  6. Step 6: Final answer
    x = 119,664.74

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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.