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Finding the Fourth Proportional to 341,419.73, 512,185.22 and 128,204.15

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Solution

The fourth proportional to 341,419.73, 512,185.22 and 128,204.15 is: 192,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,419.73 : 512,185.22 = 128,204.15 : x
  2. Step 2: Convert to fraction form
    341,419.73/512,185.22 = 128,204.15/x
  3. Step 3: Cross multiply
    341,419.73x = 512,185.22 × 128,204.15
  4. Step 4: Simplify right side
    341,419.73x = 65,664,267,570.72
  5. Step 5: Solve for x
    x = 65,664,267,570.72/341,419.73
  6. Step 6: Final answer
    x = 192,327.11

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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.