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Finding the Fourth Proportional to 225,879.10, 311,713.11 and 130,385.78

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Solution

The fourth proportional to 225,879.10, 311,713.11 and 130,385.78 is: 179,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,879.10 : 311,713.11 = 130,385.78 : x
  2. Step 2: Convert to fraction form
    225,879.10/311,713.11 = 130,385.78/x
  3. Step 3: Cross multiply
    225,879.10x = 311,713.11 × 130,385.78
  4. Step 4: Simplify right side
    225,879.10x = 40,642,958,347.32
  5. Step 5: Solve for x
    x = 40,642,958,347.32/225,879.10
  6. Step 6: Final answer
    x = 179,932.36

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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.