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Finding the Fourth Proportional to 225,467.12, 310,436.47 and 191,405

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Solution

The fourth proportional to 225,467.12, 310,436.47 and 191,405 is: 263,537.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,467.12 : 310,436.47 = 191,405 : x
  2. Step 2: Convert to fraction form
    225,467.12/310,436.47 = 191,405/x
  3. Step 3: Cross multiply
    225,467.12x = 310,436.47 × 191,405
  4. Step 4: Simplify right side
    225,467.12x = 59,419,092,540.35
  5. Step 5: Solve for x
    x = 59,419,092,540.35/225,467.12
  6. Step 6: Final answer
    x = 263,537.73

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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.