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Finding the Fourth Proportional to 256,556.40, 384,834.60 and 130,147.80

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Solution

The fourth proportional to 256,556.40, 384,834.60 and 130,147.80 is: 195,221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,556.40 : 384,834.60 = 130,147.80 : x
  2. Step 2: Convert to fraction form
    256,556.40/384,834.60 = 130,147.80/x
  3. Step 3: Cross multiply
    256,556.40x = 384,834.60 × 130,147.80
  4. Step 4: Simplify right side
    256,556.40x = 50,085,376,553.88
  5. Step 5: Solve for x
    x = 50,085,376,553.88/256,556.40
  6. Step 6: Final answer
    x = 195,221.70

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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.