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Finding the Fourth Proportional to 225,958.32, 311,850.14 and 130,464.86

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Solution

The fourth proportional to 225,958.32, 311,850.14 and 130,464.86 is: 180,057.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,958.32 : 311,850.14 = 130,464.86 : x
  2. Step 2: Convert to fraction form
    225,958.32/311,850.14 = 130,464.86/x
  3. Step 3: Cross multiply
    225,958.32x = 311,850.14 × 130,464.86
  4. Step 4: Simplify right side
    225,958.32x = 40,685,482,644.51
  5. Step 5: Solve for x
    x = 40,685,482,644.51/225,958.32
  6. Step 6: Final answer
    x = 180,057.47

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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.