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Finding the Fourth Proportional to 494,822.64, 682,782.64 and 277,020

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Solution

The fourth proportional to 494,822.64, 682,782.64 and 277,020 is: 382,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,822.64 : 682,782.64 = 277,020 : x
  2. Step 2: Convert to fraction form
    494,822.64/682,782.64 = 277,020/x
  3. Step 3: Cross multiply
    494,822.64x = 682,782.64 × 277,020
  4. Step 4: Simplify right side
    494,822.64x = 189,144,446,932.80
  5. Step 5: Solve for x
    x = 189,144,446,932.80/494,822.64
  6. Step 6: Final answer
    x = 382,246.95

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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.