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Finding the Fourth Proportional to 311,901.87, 467,882.27 and 87,262.35

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Solution

The fourth proportional to 311,901.87, 467,882.27 and 87,262.35 is: 130,901.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,901.87 : 467,882.27 = 87,262.35 : x
  2. Step 2: Convert to fraction form
    311,901.87/467,882.27 = 87,262.35/x
  3. Step 3: Cross multiply
    311,901.87x = 467,882.27 × 87,262.35
  4. Step 4: Simplify right side
    311,901.87x = 40,828,505,030.75
  5. Step 5: Solve for x
    x = 40,828,505,030.75/311,901.87
  6. Step 6: Final answer
    x = 130,901.76

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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.