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Finding the Fourth Proportional to 225,462.87, 311,142.13 and 123,497.73

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Solution

The fourth proportional to 225,462.87, 311,142.13 and 123,497.73 is: 170,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,462.87 : 311,142.13 = 123,497.73 : x
  2. Step 2: Convert to fraction form
    225,462.87/311,142.13 = 123,497.73/x
  3. Step 3: Cross multiply
    225,462.87x = 311,142.13 × 123,497.73
  4. Step 4: Simplify right side
    225,462.87x = 38,425,346,453.62
  5. Step 5: Solve for x
    x = 38,425,346,453.62/225,462.87
  6. Step 6: Final answer
    x = 170,428.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.