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Finding the Fourth Proportional to 225,678.36, 311,424.57 and 130,179.36

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Solution

The fourth proportional to 225,678.36, 311,424.57 and 130,179.36 is: 179,640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,678.36 : 311,424.57 = 130,179.36 : x
  2. Step 2: Convert to fraction form
    225,678.36/311,424.57 = 130,179.36/x
  3. Step 3: Cross multiply
    225,678.36x = 311,424.57 × 130,179.36
  4. Step 4: Simplify right side
    225,678.36x = 40,541,051,210.88
  5. Step 5: Solve for x
    x = 40,541,051,210.88/225,678.36
  6. Step 6: Final answer
    x = 179,640.84

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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.