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Finding the Fourth Proportional to 496,699.36, 685,459.96 and 305,822.88

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Solution

The fourth proportional to 496,699.36, 685,459.96 and 305,822.88 is: 422,044.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,699.36 : 685,459.96 = 305,822.88 : x
  2. Step 2: Convert to fraction form
    496,699.36/685,459.96 = 305,822.88/x
  3. Step 3: Cross multiply
    496,699.36x = 685,459.96 × 305,822.88
  4. Step 4: Simplify right side
    496,699.36x = 209,629,339,091.89
  5. Step 5: Solve for x
    x = 209,629,339,091.89/496,699.36
  6. Step 6: Final answer
    x = 422,044.71

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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.