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Finding the Fourth Proportional to 255,224.80, 382,837.20 and 68,231.44

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Solution

The fourth proportional to 255,224.80, 382,837.20 and 68,231.44 is: 102,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,224.80 : 382,837.20 = 68,231.44 : x
  2. Step 2: Convert to fraction form
    255,224.80/382,837.20 = 68,231.44/x
  3. Step 3: Cross multiply
    255,224.80x = 382,837.20 × 68,231.44
  4. Step 4: Simplify right side
    255,224.80x = 26,121,532,484.48
  5. Step 5: Solve for x
    x = 26,121,532,484.48/255,224.80
  6. Step 6: Final answer
    x = 102,347.16

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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.