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Finding the Fourth Proportional to 305,049.69, 420,982.65 and 169,086.56

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Solution

The fourth proportional to 305,049.69, 420,982.65 and 169,086.56 is: 233,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,049.69 : 420,982.65 = 169,086.56 : x
  2. Step 2: Convert to fraction form
    305,049.69/420,982.65 = 169,086.56/x
  3. Step 3: Cross multiply
    305,049.69x = 420,982.65 × 169,086.56
  4. Step 4: Simplify right side
    305,049.69x = 71,182,506,003.27
  5. Step 5: Solve for x
    x = 71,182,506,003.27/305,049.69
  6. Step 6: Final answer
    x = 233,347.25

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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.