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Finding the Fourth Proportional to 255,763.20, 384,105.60 and 185,721.60

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Solution

The fourth proportional to 255,763.20, 384,105.60 and 185,721.60 is: 278,917.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,763.20 : 384,105.60 = 185,721.60 : x
  2. Step 2: Convert to fraction form
    255,763.20/384,105.60 = 185,721.60/x
  3. Step 3: Cross multiply
    255,763.20x = 384,105.60 × 185,721.60
  4. Step 4: Simplify right side
    255,763.20x = 71,336,706,600.96
  5. Step 5: Solve for x
    x = 71,336,706,600.96/255,763.20
  6. Step 6: Final answer
    x = 278,917.01

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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.