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Finding the Fourth Proportional to 311,903, 467,932.44 and 90,287

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Solution

The fourth proportional to 311,903, 467,932.44 and 90,287 is: 135,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,903 : 467,932.44 = 90,287 : x
  2. Step 2: Convert to fraction form
    311,903/467,932.44 = 90,287/x
  3. Step 3: Cross multiply
    311,903x = 467,932.44 × 90,287
  4. Step 4: Simplify right side
    311,903x = 42,248,216,210.28
  5. Step 5: Solve for x
    x = 42,248,216,210.28/311,903
  6. Step 6: Final answer
    x = 135,453.06

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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.