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Finding the Fourth Proportional to 225,818.50, 311,629.06 and 130,325.20

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Solution

The fourth proportional to 225,818.50, 311,629.06 and 130,325.20 is: 179,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,818.50 : 311,629.06 = 130,325.20 : x
  2. Step 2: Convert to fraction form
    225,818.50/311,629.06 = 130,325.20/x
  3. Step 3: Cross multiply
    225,818.50x = 311,629.06 × 130,325.20
  4. Step 4: Simplify right side
    225,818.50x = 40,613,117,360.54
  5. Step 5: Solve for x
    x = 40,613,117,360.54/225,818.50
  6. Step 6: Final answer
    x = 179,848.49

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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.