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Finding the Fourth Proportional to 496,730.50, 685,469.06 and 281,857.76

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Solution

The fourth proportional to 496,730.50, 685,469.06 and 281,857.76 is: 388,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,730.50 : 685,469.06 = 281,857.76 : x
  2. Step 2: Convert to fraction form
    496,730.50/685,469.06 = 281,857.76/x
  3. Step 3: Cross multiply
    496,730.50x = 685,469.06 × 281,857.76
  4. Step 4: Simplify right side
    496,730.50x = 193,204,773,800.91
  5. Step 5: Solve for x
    x = 193,204,773,800.91/496,730.50
  6. Step 6: Final answer
    x = 388,952.91

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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.