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Finding the Fourth Proportional to 275,940.48, 413,700.78 and 142,735.92

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Solution

The fourth proportional to 275,940.48, 413,700.78 and 142,735.92 is: 213,995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,940.48 : 413,700.78 = 142,735.92 : x
  2. Step 2: Convert to fraction form
    275,940.48/413,700.78 = 142,735.92/x
  3. Step 3: Cross multiply
    275,940.48x = 413,700.78 × 142,735.92
  4. Step 4: Simplify right side
    275,940.48x = 59,049,961,438.02
  5. Step 5: Solve for x
    x = 59,049,961,438.02/275,940.48
  6. Step 6: Final answer
    x = 213,995.28

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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.