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Finding the Fourth Proportional to 329,920.83, 494,782.51 and 172,063.17

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Solution

The fourth proportional to 329,920.83, 494,782.51 and 172,063.17 is: 258,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,920.83 : 494,782.51 = 172,063.17 : x
  2. Step 2: Convert to fraction form
    329,920.83/494,782.51 = 172,063.17/x
  3. Step 3: Cross multiply
    329,920.83x = 494,782.51 × 172,063.17
  4. Step 4: Simplify right side
    329,920.83x = 85,133,847,131.16
  5. Step 5: Solve for x
    x = 85,133,847,131.16/329,920.83
  6. Step 6: Final answer
    x = 258,043.26

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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.