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Finding the Fourth Proportional to 370,399.96, 511,150.26 and 200,634.49

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Solution

The fourth proportional to 370,399.96, 511,150.26 and 200,634.49 is: 276,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,399.96 : 511,150.26 = 200,634.49 : x
  2. Step 2: Convert to fraction form
    370,399.96/511,150.26 = 200,634.49/x
  3. Step 3: Cross multiply
    370,399.96x = 511,150.26 × 200,634.49
  4. Step 4: Simplify right side
    370,399.96x = 102,554,371,728.47
  5. Step 5: Solve for x
    x = 102,554,371,728.47/370,399.96
  6. Step 6: Final answer
    x = 276,874.68

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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.