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Finding the Fourth Proportional to 331,070, 496,682.76 and 109,454

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Solution

The fourth proportional to 331,070, 496,682.76 and 109,454 is: 164,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,070 : 496,682.76 = 109,454 : x
  2. Step 2: Convert to fraction form
    331,070/496,682.76 = 109,454/x
  3. Step 3: Cross multiply
    331,070x = 496,682.76 × 109,454
  4. Step 4: Simplify right side
    331,070x = 54,363,914,813.04
  5. Step 5: Solve for x
    x = 54,363,914,813.04/331,070
  6. Step 6: Final answer
    x = 164,206.71

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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.