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Finding the Fourth Proportional to 256,500.36, 384,828.36 and 136,536.87

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Solution

The fourth proportional to 256,500.36, 384,828.36 and 136,536.87 is: 204,846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,500.36 : 384,828.36 = 136,536.87 : x
  2. Step 2: Convert to fraction form
    256,500.36/384,828.36 = 136,536.87/x
  3. Step 3: Cross multiply
    256,500.36x = 384,828.36 × 136,536.87
  4. Step 4: Simplify right side
    256,500.36x = 52,543,259,761.63
  5. Step 5: Solve for x
    x = 52,543,259,761.63/256,500.36
  6. Step 6: Final answer
    x = 204,846.73

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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.