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Finding the Fourth Proportional to 394,471.80, 591,707.70 and 145,121.40

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Solution

The fourth proportional to 394,471.80, 591,707.70 and 145,121.40 is: 217,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,471.80 : 591,707.70 = 145,121.40 : x
  2. Step 2: Convert to fraction form
    394,471.80/591,707.70 = 145,121.40/x
  3. Step 3: Cross multiply
    394,471.80x = 591,707.70 × 145,121.40
  4. Step 4: Simplify right side
    394,471.80x = 85,869,449,814.78
  5. Step 5: Solve for x
    x = 85,869,449,814.78/394,471.80
  6. Step 6: Final answer
    x = 217,682.10

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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.