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Finding the Fourth Proportional to 500,490.78, 750,735.96 and 200,971.26

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Solution

The fourth proportional to 500,490.78, 750,735.96 and 200,971.26 is: 301,456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,490.78 : 750,735.96 = 200,971.26 : x
  2. Step 2: Convert to fraction form
    500,490.78/750,735.96 = 200,971.26/x
  3. Step 3: Cross multiply
    500,490.78x = 750,735.96 × 200,971.26
  4. Step 4: Simplify right side
    500,490.78x = 150,876,351,808.51
  5. Step 5: Solve for x
    x = 150,876,351,808.51/500,490.78
  6. Step 6: Final answer
    x = 301,456.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.