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Finding the Fourth Proportional to 331,749.51, 497,624.61 and 82,431.51

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Solution

The fourth proportional to 331,749.51, 497,624.61 and 82,431.51 is: 123,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,749.51 : 497,624.61 = 82,431.51 : x
  2. Step 2: Convert to fraction form
    331,749.51/497,624.61 = 82,431.51/x
  3. Step 3: Cross multiply
    331,749.51x = 497,624.61 × 82,431.51
  4. Step 4: Simplify right side
    331,749.51x = 41,019,948,015.46
  5. Step 5: Solve for x
    x = 41,019,948,015.46/331,749.51
  6. Step 6: Final answer
    x = 123,647.35

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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.