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Finding the Fourth Proportional to 256,820.80, 385,231.20 and 225,716.80

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Solution

The fourth proportional to 256,820.80, 385,231.20 and 225,716.80 is: 338,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,820.80 : 385,231.20 = 225,716.80 : x
  2. Step 2: Convert to fraction form
    256,820.80/385,231.20 = 225,716.80/x
  3. Step 3: Cross multiply
    256,820.80x = 385,231.20 × 225,716.80
  4. Step 4: Simplify right side
    256,820.80x = 86,953,153,724.16
  5. Step 5: Solve for x
    x = 86,953,153,724.16/256,820.80
  6. Step 6: Final answer
    x = 338,575.20

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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.