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Finding the Fourth Proportional to 279,231.88, 415,689.66 and 277,571.16

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Solution

The fourth proportional to 279,231.88, 415,689.66 and 277,571.16 is: 413,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,231.88 : 415,689.66 = 277,571.16 : x
  2. Step 2: Convert to fraction form
    279,231.88/415,689.66 = 277,571.16/x
  3. Step 3: Cross multiply
    279,231.88x = 415,689.66 × 277,571.16
  4. Step 4: Simplify right side
    279,231.88x = 115,383,461,126.21
  5. Step 5: Solve for x
    x = 115,383,461,126.21/279,231.88
  6. Step 6: Final answer
    x = 413,217.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.