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Finding the Fourth Proportional to 277,744.82, 383,311.45 and 156,908.28

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Solution

The fourth proportional to 277,744.82, 383,311.45 and 156,908.28 is: 216,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,744.82 : 383,311.45 = 156,908.28 : x
  2. Step 2: Convert to fraction form
    277,744.82/383,311.45 = 156,908.28/x
  3. Step 3: Cross multiply
    277,744.82x = 383,311.45 × 156,908.28
  4. Step 4: Simplify right side
    277,744.82x = 60,144,741,957.36
  5. Step 5: Solve for x
    x = 60,144,741,957.36/277,744.82
  6. Step 6: Final answer
    x = 216,546.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.