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Finding the Fourth Proportional to 331,831.54, 497,749.29 and 82,513.54

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Solution

The fourth proportional to 331,831.54, 497,749.29 and 82,513.54 is: 123,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,831.54 : 497,749.29 = 82,513.54 : x
  2. Step 2: Convert to fraction form
    331,831.54/497,749.29 = 82,513.54/x
  3. Step 3: Cross multiply
    331,831.54x = 497,749.29 × 82,513.54
  4. Step 4: Simplify right side
    331,831.54x = 41,071,055,950.39
  5. Step 5: Solve for x
    x = 41,071,055,950.39/331,831.54
  6. Step 6: Final answer
    x = 123,770.80

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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.