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Finding the Fourth Proportional to 305,052.70, 420,986.80 and 169,089.56

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Solution

The fourth proportional to 305,052.70, 420,986.80 and 169,089.56 is: 233,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,052.70 : 420,986.80 = 169,089.56 : x
  2. Step 2: Convert to fraction form
    305,052.70/420,986.80 = 169,089.56/x
  3. Step 3: Cross multiply
    305,052.70x = 420,986.80 × 169,089.56
  4. Step 4: Simplify right side
    305,052.70x = 71,184,472,777.81
  5. Step 5: Solve for x
    x = 71,184,472,777.81/305,052.70
  6. Step 6: Final answer
    x = 233,351.39

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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.