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Finding the Fourth Proportional to 256,664.80, 385,653.30 and 227,796.40

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Solution

The fourth proportional to 256,664.80, 385,653.30 and 227,796.40 is: 342,276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,664.80 : 385,653.30 = 227,796.40 : x
  2. Step 2: Convert to fraction form
    256,664.80/385,653.30 = 227,796.40/x
  3. Step 3: Cross multiply
    256,664.80x = 385,653.30 × 227,796.40
  4. Step 4: Simplify right side
    256,664.80x = 87,850,433,388.12
  5. Step 5: Solve for x
    x = 87,850,433,388.12/256,664.80
  6. Step 6: Final answer
    x = 342,276.91

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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.