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Finding the Fourth Proportional to 205,967.20, 288,768.80 and 205,967.20

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Solution

The fourth proportional to 205,967.20, 288,768.80 and 205,967.20 is: 288,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,967.20 : 288,768.80 = 205,967.20 : x
  2. Step 2: Convert to fraction form
    205,967.20/288,768.80 = 205,967.20/x
  3. Step 3: Cross multiply
    205,967.20x = 288,768.80 × 205,967.20
  4. Step 4: Simplify right side
    205,967.20x = 59,476,901,183.36
  5. Step 5: Solve for x
    x = 59,476,901,183.36/205,967.20
  6. Step 6: Final answer
    x = 288,768.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.