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Finding the Fourth Proportional to 505,738.78, 758,078.32 and 235,644.21

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Solution

The fourth proportional to 505,738.78, 758,078.32 and 235,644.21 is: 353,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,738.78 : 758,078.32 = 235,644.21 : x
  2. Step 2: Convert to fraction form
    505,738.78/758,078.32 = 235,644.21/x
  3. Step 3: Cross multiply
    505,738.78x = 758,078.32 × 235,644.21
  4. Step 4: Simplify right side
    505,738.78x = 178,636,766,834.53
  5. Step 5: Solve for x
    x = 178,636,766,834.53/505,738.78
  6. Step 6: Final answer
    x = 353,219.44

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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.