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Finding the Fourth Proportional to 276,963.86, 415,279.72 and 127,016.34

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Solution

The fourth proportional to 276,963.86, 415,279.72 and 127,016.34 is: 190,448.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,963.86 : 415,279.72 = 127,016.34 : x
  2. Step 2: Convert to fraction form
    276,963.86/415,279.72 = 127,016.34/x
  3. Step 3: Cross multiply
    276,963.86x = 415,279.72 × 127,016.34
  4. Step 4: Simplify right side
    276,963.86x = 52,747,310,110.62
  5. Step 5: Solve for x
    x = 52,747,310,110.62/276,963.86
  6. Step 6: Final answer
    x = 190,448.35

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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.