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Finding the Fourth Proportional to 496,824.48, 685,501.20 and 281,916

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Solution

The fourth proportional to 496,824.48, 685,501.20 and 281,916 is: 388,977.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,824.48 : 685,501.20 = 281,916 : x
  2. Step 2: Convert to fraction form
    496,824.48/685,501.20 = 281,916/x
  3. Step 3: Cross multiply
    496,824.48x = 685,501.20 × 281,916
  4. Step 4: Simplify right side
    496,824.48x = 193,253,756,299.20
  5. Step 5: Solve for x
    x = 193,253,756,299.20/496,824.48
  6. Step 6: Final answer
    x = 388,977.93

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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.