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Finding the Fourth Proportional to 277,940.90, 417,469.20 and 165,839.86

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Solution

The fourth proportional to 277,940.90, 417,469.20 and 165,839.86 is: 249,092.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,940.90 : 417,469.20 = 165,839.86 : x
  2. Step 2: Convert to fraction form
    277,940.90/417,469.20 = 165,839.86/x
  3. Step 3: Cross multiply
    277,940.90x = 417,469.20 × 165,839.86
  4. Step 4: Simplify right side
    277,940.90x = 69,233,033,682.31
  5. Step 5: Solve for x
    x = 69,233,033,682.31/277,940.90
  6. Step 6: Final answer
    x = 249,092.64

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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.