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Finding the Fourth Proportional to 256,212.99, 384,552.71 and 136,370.55

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Solution

The fourth proportional to 256,212.99, 384,552.71 and 136,370.55 is: 204,679.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,212.99 : 384,552.71 = 136,370.55 : x
  2. Step 2: Convert to fraction form
    256,212.99/384,552.71 = 136,370.55/x
  3. Step 3: Cross multiply
    256,212.99x = 384,552.71 × 136,370.55
  4. Step 4: Simplify right side
    256,212.99x = 52,441,664,566.69
  5. Step 5: Solve for x
    x = 52,441,664,566.69/256,212.99
  6. Step 6: Final answer
    x = 204,679.96

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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.