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Finding the Fourth Proportional to 547,278.52, 820,917.74 and 277,364.62

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Solution

The fourth proportional to 547,278.52, 820,917.74 and 277,364.62 is: 416,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,278.52 : 820,917.74 = 277,364.62 : x
  2. Step 2: Convert to fraction form
    547,278.52/820,917.74 = 277,364.62/x
  3. Step 3: Cross multiply
    547,278.52x = 820,917.74 × 277,364.62
  4. Step 4: Simplify right side
    547,278.52x = 227,693,537,006.36
  5. Step 5: Solve for x
    x = 227,693,537,006.36/547,278.52
  6. Step 6: Final answer
    x = 416,046.91

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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.