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Finding the Fourth Proportional to 256,842.56, 385,266.44 and 114,695.07

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Solution

The fourth proportional to 256,842.56, 385,266.44 and 114,695.07 is: 172,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,842.56 : 385,266.44 = 114,695.07 : x
  2. Step 2: Convert to fraction form
    256,842.56/385,266.44 = 114,695.07/x
  3. Step 3: Cross multiply
    256,842.56x = 385,266.44 × 114,695.07
  4. Step 4: Simplify right side
    256,842.56x = 44,188,161,591.19
  5. Step 5: Solve for x
    x = 44,188,161,591.19/256,842.56
  6. Step 6: Final answer
    x = 172,043.77

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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.