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Finding the Fourth Proportional to 205,515.20, 308,272.80 and 189,768.80

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Solution

The fourth proportional to 205,515.20, 308,272.80 and 189,768.80 is: 284,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,515.20 : 308,272.80 = 189,768.80 : x
  2. Step 2: Convert to fraction form
    205,515.20/308,272.80 = 189,768.80/x
  3. Step 3: Cross multiply
    205,515.20x = 308,272.80 × 189,768.80
  4. Step 4: Simplify right side
    205,515.20x = 58,500,559,328.64
  5. Step 5: Solve for x
    x = 58,500,559,328.64/205,515.20
  6. Step 6: Final answer
    x = 284,653.20

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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.