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Finding the Fourth Proportional to 311,262.94, 467,040.22 and 153,405.28

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Solution

The fourth proportional to 311,262.94, 467,040.22 and 153,405.28 is: 230,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,262.94 : 467,040.22 = 153,405.28 : x
  2. Step 2: Convert to fraction form
    311,262.94/467,040.22 = 153,405.28/x
  3. Step 3: Cross multiply
    311,262.94x = 467,040.22 × 153,405.28
  4. Step 4: Simplify right side
    311,262.94x = 71,646,435,720.36
  5. Step 5: Solve for x
    x = 71,646,435,720.36/311,262.94
  6. Step 6: Final answer
    x = 230,179.78

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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.