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Finding the Fourth Proportional to 270,754.31, 405,890.26 and 128,511.83

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Solution

The fourth proportional to 270,754.31, 405,890.26 and 128,511.83 is: 192,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,754.31 : 405,890.26 = 128,511.83 : x
  2. Step 2: Convert to fraction form
    270,754.31/405,890.26 = 128,511.83/x
  3. Step 3: Cross multiply
    270,754.31x = 405,890.26 × 128,511.83
  4. Step 4: Simplify right side
    270,754.31x = 52,161,700,785.22
  5. Step 5: Solve for x
    x = 52,161,700,785.22/270,754.31
  6. Step 6: Final answer
    x = 192,653.26

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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.