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Finding the Fourth Proportional to 393,782.86, 590,989.58 and 204,297.53

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Solution

The fourth proportional to 393,782.86, 590,989.58 and 204,297.53 is: 306,609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,782.86 : 590,989.58 = 204,297.53 : x
  2. Step 2: Convert to fraction form
    393,782.86/590,989.58 = 204,297.53/x
  3. Step 3: Cross multiply
    393,782.86x = 590,989.58 × 204,297.53
  4. Step 4: Simplify right side
    393,782.86x = 120,737,712,671.84
  5. Step 5: Solve for x
    x = 120,737,712,671.84/393,782.86
  6. Step 6: Final answer
    x = 306,609.87

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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.