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Finding the Fourth Proportional to 341,202.78, 511,869.81 and 130,824.33

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Solution

The fourth proportional to 341,202.78, 511,869.81 and 130,824.33 is: 196,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,202.78 : 511,869.81 = 130,824.33 : x
  2. Step 2: Convert to fraction form
    341,202.78/511,869.81 = 130,824.33/x
  3. Step 3: Cross multiply
    341,202.78x = 511,869.81 × 130,824.33
  4. Step 4: Simplify right side
    341,202.78x = 66,965,024,940.48
  5. Step 5: Solve for x
    x = 66,965,024,940.48/341,202.78
  6. Step 6: Final answer
    x = 196,261.66

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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.