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Finding the Fourth Proportional to 329,902.10, 455,270.19 and 178,999.10

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Solution

The fourth proportional to 329,902.10, 455,270.19 and 178,999.10 is: 247,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,902.10 : 455,270.19 = 178,999.10 : x
  2. Step 2: Convert to fraction form
    329,902.10/455,270.19 = 178,999.10/x
  3. Step 3: Cross multiply
    329,902.10x = 455,270.19 × 178,999.10
  4. Step 4: Simplify right side
    329,902.10x = 81,492,954,266.83
  5. Step 5: Solve for x
    x = 81,492,954,266.83/329,902.10
  6. Step 6: Final answer
    x = 247,021.63

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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.