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Finding the Fourth Proportional to 255,190.80, 382,786.20 and 161,878.80

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Solution

The fourth proportional to 255,190.80, 382,786.20 and 161,878.80 is: 242,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,190.80 : 382,786.20 = 161,878.80 : x
  2. Step 2: Convert to fraction form
    255,190.80/382,786.20 = 161,878.80/x
  3. Step 3: Cross multiply
    255,190.80x = 382,786.20 × 161,878.80
  4. Step 4: Simplify right side
    255,190.80x = 61,964,970,712.56
  5. Step 5: Solve for x
    x = 61,964,970,712.56/255,190.80
  6. Step 6: Final answer
    x = 242,818.20

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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.