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Finding the Fourth Proportional to 305,016.57, 420,922.89 and 169,059.24

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Solution

The fourth proportional to 305,016.57, 420,922.89 and 169,059.24 is: 233,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,016.57 : 420,922.89 = 169,059.24 : x
  2. Step 2: Convert to fraction form
    305,016.57/420,922.89 = 169,059.24/x
  3. Step 3: Cross multiply
    305,016.57x = 420,922.89 × 169,059.24
  4. Step 4: Simplify right side
    305,016.57x = 71,160,903,882.00
  5. Step 5: Solve for x
    x = 71,160,903,882.00/305,016.57
  6. Step 6: Final answer
    x = 233,301.76

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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.