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Finding the Fourth Proportional to 256,521.25, 384,832.91 and 79,020.69

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Solution

The fourth proportional to 256,521.25, 384,832.91 and 79,020.69 is: 118,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,521.25 : 384,832.91 = 79,020.69 : x
  2. Step 2: Convert to fraction form
    256,521.25/384,832.91 = 79,020.69/x
  3. Step 3: Cross multiply
    256,521.25x = 384,832.91 × 79,020.69
  4. Step 4: Simplify right side
    256,521.25x = 30,409,762,082.91
  5. Step 5: Solve for x
    x = 30,409,762,082.91/256,521.25
  6. Step 6: Final answer
    x = 118,546.76

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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.