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Finding the Fourth Proportional to 255,299.20, 383,121.60 and 114,985.60

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Solution

The fourth proportional to 255,299.20, 383,121.60 and 114,985.60 is: 172,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,299.20 : 383,121.60 = 114,985.60 : x
  2. Step 2: Convert to fraction form
    255,299.20/383,121.60 = 114,985.60/x
  3. Step 3: Cross multiply
    255,299.20x = 383,121.60 × 114,985.60
  4. Step 4: Simplify right side
    255,299.20x = 44,053,467,048.96
  5. Step 5: Solve for x
    x = 44,053,467,048.96/255,299.20
  6. Step 6: Final answer
    x = 172,556.23

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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.