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Finding the Fourth Proportional to 329,894.20, 455,255.94 and 178,991.08

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Solution

The fourth proportional to 329,894.20, 455,255.94 and 178,991.08 is: 247,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,894.20 : 455,255.94 = 178,991.08 : x
  2. Step 2: Convert to fraction form
    329,894.20/455,255.94 = 178,991.08/x
  3. Step 3: Cross multiply
    329,894.20x = 455,255.94 × 178,991.08
  4. Step 4: Simplify right side
    329,894.20x = 81,486,752,377.02
  5. Step 5: Solve for x
    x = 81,486,752,377.02/329,894.20
  6. Step 6: Final answer
    x = 247,008.75

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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.