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Finding the Fourth Proportional to 394,432.70, 591,748.54 and 110,123

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Solution

The fourth proportional to 394,432.70, 591,748.54 and 110,123 is: 165,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,432.70 : 591,748.54 = 110,123 : x
  2. Step 2: Convert to fraction form
    394,432.70/591,748.54 = 110,123/x
  3. Step 3: Cross multiply
    394,432.70x = 591,748.54 × 110,123
  4. Step 4: Simplify right side
    394,432.70x = 65,165,124,470.42
  5. Step 5: Solve for x
    x = 65,165,124,470.42/394,432.70
  6. Step 6: Final answer
    x = 165,212.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.