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Finding the Fourth Proportional to 256,377.14, 384,678.46 and 136,405.88

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Solution

The fourth proportional to 256,377.14, 384,678.46 and 136,405.88 is: 204,668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,377.14 : 384,678.46 = 136,405.88 : x
  2. Step 2: Convert to fraction form
    256,377.14/384,678.46 = 136,405.88/x
  3. Step 3: Cross multiply
    256,377.14x = 384,678.46 × 136,405.88
  4. Step 4: Simplify right side
    256,377.14x = 52,472,403,031.48
  5. Step 5: Solve for x
    x = 52,472,403,031.48/256,377.14
  6. Step 6: Final answer
    x = 204,668.81

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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.