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Finding the Fourth Proportional to 371,892.78, 513,190.35 and 202,125.42

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Solution

The fourth proportional to 371,892.78, 513,190.35 and 202,125.42 is: 278,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,892.78 : 513,190.35 = 202,125.42 : x
  2. Step 2: Convert to fraction form
    371,892.78/513,190.35 = 202,125.42/x
  3. Step 3: Cross multiply
    371,892.78x = 513,190.35 × 202,125.42
  4. Step 4: Simplify right side
    371,892.78x = 103,728,815,033.70
  5. Step 5: Solve for x
    x = 103,728,815,033.70/371,892.78
  6. Step 6: Final answer
    x = 278,921.29

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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.