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Finding the Fourth Proportional to 255,284.24, 382,926.38 and 68,290.88

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Solution

The fourth proportional to 255,284.24, 382,926.38 and 68,290.88 is: 102,436.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,284.24 : 382,926.38 = 68,290.88 : x
  2. Step 2: Convert to fraction form
    255,284.24/382,926.38 = 68,290.88/x
  3. Step 3: Cross multiply
    255,284.24x = 382,926.38 × 68,290.88
  4. Step 4: Simplify right side
    255,284.24x = 26,150,377,209.33
  5. Step 5: Solve for x
    x = 26,150,377,209.33/255,284.24
  6. Step 6: Final answer
    x = 102,436.32

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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.