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Finding the Fourth Proportional to 225,876.45, 311,719.28 and 135,214.88

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Solution

The fourth proportional to 225,876.45, 311,719.28 and 135,214.88 is: 186,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,876.45 : 311,719.28 = 135,214.88 : x
  2. Step 2: Convert to fraction form
    225,876.45/311,719.28 = 135,214.88/x
  3. Step 3: Cross multiply
    225,876.45x = 311,719.28 × 135,214.88
  4. Step 4: Simplify right side
    225,876.45x = 42,149,082,804.22
  5. Step 5: Solve for x
    x = 42,149,082,804.22/225,876.45
  6. Step 6: Final answer
    x = 186,602.38

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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.