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Finding the Fourth Proportional to 225,794.82, 311,594.28 and 130,299.47

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Solution

The fourth proportional to 225,794.82, 311,594.28 and 130,299.47 is: 179,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,794.82 : 311,594.28 = 130,299.47 : x
  2. Step 2: Convert to fraction form
    225,794.82/311,594.28 = 130,299.47/x
  3. Step 3: Cross multiply
    225,794.82x = 311,594.28 × 130,299.47
  4. Step 4: Simplify right side
    225,794.82x = 40,600,567,981.06
  5. Step 5: Solve for x
    x = 40,600,567,981.06/225,794.82
  6. Step 6: Final answer
    x = 179,811.78

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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.