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Finding the Fourth Proportional to 329,820.46, 455,153.11 and 178,917.46

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Solution

The fourth proportional to 329,820.46, 455,153.11 and 178,917.46 is: 246,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,820.46 : 455,153.11 = 178,917.46 : x
  2. Step 2: Convert to fraction form
    329,820.46/455,153.11 = 178,917.46/x
  3. Step 3: Cross multiply
    329,820.46x = 455,153.11 × 178,917.46
  4. Step 4: Simplify right side
    329,820.46x = 81,434,838,352.30
  5. Step 5: Solve for x
    x = 81,434,838,352.30/329,820.46
  6. Step 6: Final answer
    x = 246,906.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.