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Finding the Fourth Proportional to 523,917.02, 722,690.43 and 319,874.78

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Solution

The fourth proportional to 523,917.02, 722,690.43 and 319,874.78 is: 441,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,917.02 : 722,690.43 = 319,874.78 : x
  2. Step 2: Convert to fraction form
    523,917.02/722,690.43 = 319,874.78/x
  3. Step 3: Cross multiply
    523,917.02x = 722,690.43 × 319,874.78
  4. Step 4: Simplify right side
    523,917.02x = 231,170,442,304.36
  5. Step 5: Solve for x
    x = 231,170,442,304.36/523,917.02
  6. Step 6: Final answer
    x = 441,234.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.