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Finding the Fourth Proportional to 225,809.64, 311,581.89 and 130,298.22

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Solution

The fourth proportional to 225,809.64, 311,581.89 and 130,298.22 is: 179,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,809.64 : 311,581.89 = 130,298.22 : x
  2. Step 2: Convert to fraction form
    225,809.64/311,581.89 = 130,298.22/x
  3. Step 3: Cross multiply
    225,809.64x = 311,581.89 × 130,298.22
  4. Step 4: Simplify right side
    225,809.64x = 40,598,565,651.24
  5. Step 5: Solve for x
    x = 40,598,565,651.24/225,809.64
  6. Step 6: Final answer
    x = 179,791.11

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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.