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Finding the Fourth Proportional to 230,198.70, 317,723.22 and 154,703.46

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Solution

The fourth proportional to 230,198.70, 317,723.22 and 154,703.46 is: 213,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,198.70 : 317,723.22 = 154,703.46 : x
  2. Step 2: Convert to fraction form
    230,198.70/317,723.22 = 154,703.46/x
  3. Step 3: Cross multiply
    230,198.70x = 317,723.22 × 154,703.46
  4. Step 4: Simplify right side
    230,198.70x = 49,152,881,456.34
  5. Step 5: Solve for x
    x = 49,152,881,456.34/230,198.70
  6. Step 6: Final answer
    x = 213,523.71

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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.