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Finding the Fourth Proportional to 256,761.84, 384,996.96 and 214,902.66

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Solution

The fourth proportional to 256,761.84, 384,996.96 and 214,902.66 is: 322,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,761.84 : 384,996.96 = 214,902.66 : x
  2. Step 2: Convert to fraction form
    256,761.84/384,996.96 = 214,902.66/x
  3. Step 3: Cross multiply
    256,761.84x = 384,996.96 × 214,902.66
  4. Step 4: Simplify right side
    256,761.84x = 82,736,870,795.91
  5. Step 5: Solve for x
    x = 82,736,870,795.91/256,761.84
  6. Step 6: Final answer
    x = 322,231.96

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1.5x scale

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.