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Finding the Fourth Proportional to 507,107.82, 699,806.20 and 277,660.94

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Solution

The fourth proportional to 507,107.82, 699,806.20 and 277,660.94 is: 383,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,107.82 : 699,806.20 = 277,660.94 : x
  2. Step 2: Convert to fraction form
    507,107.82/699,806.20 = 277,660.94/x
  3. Step 3: Cross multiply
    507,107.82x = 699,806.20 × 277,660.94
  4. Step 4: Simplify right side
    507,107.82x = 194,308,847,309.83
  5. Step 5: Solve for x
    x = 194,308,847,309.83/507,107.82
  6. Step 6: Final answer
    x = 383,170.68

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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.