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Finding the Fourth Proportional to 256,521, 384,832.53 and 79,020.44

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Solution

The fourth proportional to 256,521, 384,832.53 and 79,020.44 is: 118,546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,521 : 384,832.53 = 79,020.44 : x
  2. Step 2: Convert to fraction form
    256,521/384,832.53 = 79,020.44/x
  3. Step 3: Cross multiply
    256,521x = 384,832.53 × 79,020.44
  4. Step 4: Simplify right side
    256,521x = 30,409,633,922.75
  5. Step 5: Solve for x
    x = 30,409,633,922.75/256,521
  6. Step 6: Final answer
    x = 118,546.37

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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.