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Finding the Fourth Proportional to 329,900.25, 455,264.78 and 178,997.25

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Solution

The fourth proportional to 329,900.25, 455,264.78 and 178,997.25 is: 247,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,900.25 : 455,264.78 = 178,997.25 : x
  2. Step 2: Convert to fraction form
    329,900.25/455,264.78 = 178,997.25/x
  3. Step 3: Cross multiply
    329,900.25x = 455,264.78 × 178,997.25
  4. Step 4: Simplify right side
    329,900.25x = 81,491,142,746.87
  5. Step 5: Solve for x
    x = 81,491,142,746.87/329,900.25
  6. Step 6: Final answer
    x = 247,017.52

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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.