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Finding the Fourth Proportional to 305,046.46, 420,989.34 and 169,123.06

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Solution

The fourth proportional to 305,046.46, 420,989.34 and 169,123.06 is: 233,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,046.46 : 420,989.34 = 169,123.06 : x
  2. Step 2: Convert to fraction form
    305,046.46/420,989.34 = 169,123.06/x
  3. Step 3: Cross multiply
    305,046.46x = 420,989.34 × 169,123.06
  4. Step 4: Simplify right side
    305,046.46x = 71,199,005,408.18
  5. Step 5: Solve for x
    x = 71,199,005,408.18/305,046.46
  6. Step 6: Final answer
    x = 233,403.81

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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.