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Finding the Fourth Proportional to 275,915.43, 413,647.47 and 142,833.69

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Solution

The fourth proportional to 275,915.43, 413,647.47 and 142,833.69 is: 214,133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,915.43 : 413,647.47 = 142,833.69 : x
  2. Step 2: Convert to fraction form
    275,915.43/413,647.47 = 142,833.69/x
  3. Step 3: Cross multiply
    275,915.43x = 413,647.47 × 142,833.69
  4. Step 4: Simplify right side
    275,915.43x = 59,082,794,499.26
  5. Step 5: Solve for x
    x = 59,082,794,499.26/275,915.43
  6. Step 6: Final answer
    x = 214,133.71

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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.