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Finding the Fourth Proportional to 665,971.86, 998,791.50 and 261,246.33

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Solution

The fourth proportional to 665,971.86, 998,791.50 and 261,246.33 is: 391,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,971.86 : 998,791.50 = 261,246.33 : x
  2. Step 2: Convert to fraction form
    665,971.86/998,791.50 = 261,246.33/x
  3. Step 3: Cross multiply
    665,971.86x = 998,791.50 × 261,246.33
  4. Step 4: Simplify right side
    665,971.86x = 260,930,613,810.20
  5. Step 5: Solve for x
    x = 260,930,613,810.20/665,971.86
  6. Step 6: Final answer
    x = 391,804.26

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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.