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Finding the Fourth Proportional to 311,957.91, 467,918.39 and 87,313.37

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Solution

The fourth proportional to 311,957.91, 467,918.39 and 87,313.37 is: 130,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,957.91 : 467,918.39 = 87,313.37 : x
  2. Step 2: Convert to fraction form
    311,957.91/467,918.39 = 87,313.37/x
  3. Step 3: Cross multiply
    311,957.91x = 467,918.39 × 87,313.37
  4. Step 4: Simplify right side
    311,957.91x = 40,855,529,394.57
  5. Step 5: Solve for x
    x = 40,855,529,394.57/311,957.91
  6. Step 6: Final answer
    x = 130,964.88

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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.