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Finding the Fourth Proportional to 497,064.82, 685,968.88 and 282,224.90

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Solution

The fourth proportional to 497,064.82, 685,968.88 and 282,224.90 is: 389,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,064.82 : 685,968.88 = 282,224.90 : x
  2. Step 2: Convert to fraction form
    497,064.82/685,968.88 = 282,224.90/x
  3. Step 3: Cross multiply
    497,064.82x = 685,968.88 × 282,224.90
  4. Step 4: Simplify right side
    497,064.82x = 193,597,498,561.11
  5. Step 5: Solve for x
    x = 193,597,498,561.11/497,064.82
  6. Step 6: Final answer
    x = 389,481.39

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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.