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Finding the Fourth Proportional to 497,084.11, 685,958.12 and 303,815.27

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Solution

The fourth proportional to 497,084.11, 685,958.12 and 303,815.27 is: 419,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,084.11 : 685,958.12 = 303,815.27 : x
  2. Step 2: Convert to fraction form
    497,084.11/685,958.12 = 303,815.27/x
  3. Step 3: Cross multiply
    497,084.11x = 685,958.12 × 303,815.27
  4. Step 4: Simplify right side
    497,084.11x = 208,404,552,771.62
  5. Step 5: Solve for x
    x = 208,404,552,771.62/497,084.11
  6. Step 6: Final answer
    x = 419,254.11

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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.