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Finding the Fourth Proportional to 311,513.03, 467,262.83 and 86,867.48

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Solution

The fourth proportional to 311,513.03, 467,262.83 and 86,867.48 is: 130,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,513.03 : 467,262.83 = 86,867.48 : x
  2. Step 2: Convert to fraction form
    311,513.03/467,262.83 = 86,867.48/x
  3. Step 3: Cross multiply
    311,513.03x = 467,262.83 × 86,867.48
  4. Step 4: Simplify right side
    311,513.03x = 40,589,941,769.12
  5. Step 5: Solve for x
    x = 40,589,941,769.12/311,513.03
  6. Step 6: Final answer
    x = 130,299.34

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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.