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Finding the Fourth Proportional to 329,922.83, 494,785.50 and 172,065.17

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Solution

The fourth proportional to 329,922.83, 494,785.50 and 172,065.17 is: 258,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,922.83 : 494,785.50 = 172,065.17 : x
  2. Step 2: Convert to fraction form
    329,922.83/494,785.50 = 172,065.17/x
  3. Step 3: Cross multiply
    329,922.83x = 494,785.50 × 172,065.17
  4. Step 4: Simplify right side
    329,922.83x = 85,135,348,697.11
  5. Step 5: Solve for x
    x = 85,135,348,697.11/329,922.83
  6. Step 6: Final answer
    x = 258,046.25

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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.