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Finding the Fourth Proportional to 411,133.51, 616,766.73 and 126,757.48

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Solution

The fourth proportional to 411,133.51, 616,766.73 and 126,757.48 is: 190,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,133.51 : 616,766.73 = 126,757.48 : x
  2. Step 2: Convert to fraction form
    411,133.51/616,766.73 = 126,757.48/x
  3. Step 3: Cross multiply
    411,133.51x = 616,766.73 × 126,757.48
  4. Step 4: Simplify right side
    411,133.51x = 78,179,796,442.64
  5. Step 5: Solve for x
    x = 78,179,796,442.64/411,133.51
  6. Step 6: Final answer
    x = 190,156.71

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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.