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Finding the Fourth Proportional to 492,057.96, 679,166.66 and 320,404.38

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Solution

The fourth proportional to 492,057.96, 679,166.66 and 320,404.38 is: 442,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,057.96 : 679,166.66 = 320,404.38 : x
  2. Step 2: Convert to fraction form
    492,057.96/679,166.66 = 320,404.38/x
  3. Step 3: Cross multiply
    492,057.96x = 679,166.66 × 320,404.38
  4. Step 4: Simplify right side
    492,057.96x = 217,607,972,613.97
  5. Step 5: Solve for x
    x = 217,607,972,613.97/492,057.96
  6. Step 6: Final answer
    x = 442,240.53

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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.