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Finding the Fourth Proportional to 393,350, 590,462.67 and 203,759.78

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Solution

The fourth proportional to 393,350, 590,462.67 and 203,759.78 is: 305,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,350 : 590,462.67 = 203,759.78 : x
  2. Step 2: Convert to fraction form
    393,350/590,462.67 = 203,759.78/x
  3. Step 3: Cross multiply
    393,350x = 590,462.67 × 203,759.78
  4. Step 4: Simplify right side
    393,350x = 120,312,543,737.41
  5. Step 5: Solve for x
    x = 120,312,543,737.41/393,350
  6. Step 6: Final answer
    x = 305,866.39

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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.