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Finding the Fourth Proportional to 225,818.40, 311,670 and 130,311.84

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Solution

The fourth proportional to 225,818.40, 311,670 and 130,311.84 is: 179,853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,818.40 : 311,670 = 130,311.84 : x
  2. Step 2: Convert to fraction form
    225,818.40/311,670 = 130,311.84/x
  3. Step 3: Cross multiply
    225,818.40x = 311,670 × 130,311.84
  4. Step 4: Simplify right side
    225,818.40x = 40,614,291,172.80
  5. Step 5: Solve for x
    x = 40,614,291,172.80/225,818.40
  6. Step 6: Final answer
    x = 179,853.77

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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.