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Finding the Fourth Proportional to 331,071, 496,684.26 and 109,455

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Solution

The fourth proportional to 331,071, 496,684.26 and 109,455 is: 164,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,071 : 496,684.26 = 109,455 : x
  2. Step 2: Convert to fraction form
    331,071/496,684.26 = 109,455/x
  3. Step 3: Cross multiply
    331,071x = 496,684.26 × 109,455
  4. Step 4: Simplify right side
    331,071x = 54,364,575,678.30
  5. Step 5: Solve for x
    x = 54,364,575,678.30/331,071
  6. Step 6: Final answer
    x = 164,208.21

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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.