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Finding the Fourth Proportional to 277,290.36, 381,821.88 and 228,711.72

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Solution

The fourth proportional to 277,290.36, 381,821.88 and 228,711.72 is: 314,930.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,290.36 : 381,821.88 = 228,711.72 : x
  2. Step 2: Convert to fraction form
    277,290.36/381,821.88 = 228,711.72/x
  3. Step 3: Cross multiply
    277,290.36x = 381,821.88 × 228,711.72
  4. Step 4: Simplify right side
    277,290.36x = 87,327,138,908.43
  5. Step 5: Solve for x
    x = 87,327,138,908.43/277,290.36
  6. Step 6: Final answer
    x = 314,930.31

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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.