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Finding the Fourth Proportional to 225,290.30, 310,895.97 and 123,313.28

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Solution

The fourth proportional to 225,290.30, 310,895.97 and 123,313.28 is: 170,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,290.30 : 310,895.97 = 123,313.28 : x
  2. Step 2: Convert to fraction form
    225,290.30/310,895.97 = 123,313.28/x
  3. Step 3: Cross multiply
    225,290.30x = 310,895.97 × 123,313.28
  4. Step 4: Simplify right side
    225,290.30x = 38,337,601,799.48
  5. Step 5: Solve for x
    x = 38,337,601,799.48/225,290.30
  6. Step 6: Final answer
    x = 170,169.78

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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.