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Finding the Fourth Proportional to 497,052.82, 685,952.31 and 282,212.88

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Solution

The fourth proportional to 497,052.82, 685,952.31 and 282,212.88 is: 389,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,052.82 : 685,952.31 = 282,212.88 : x
  2. Step 2: Convert to fraction form
    497,052.82/685,952.31 = 282,212.88/x
  3. Step 3: Cross multiply
    497,052.82x = 685,952.31 × 282,212.88
  4. Step 4: Simplify right side
    497,052.82x = 193,584,576,947.75
  5. Step 5: Solve for x
    x = 193,584,576,947.75/497,052.82
  6. Step 6: Final answer
    x = 389,464.80

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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.