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Finding the Fourth Proportional to 370,305.92, 511,021.40 and 200,539.52

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Solution

The fourth proportional to 370,305.92, 511,021.40 and 200,539.52 is: 276,744.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,305.92 : 511,021.40 = 200,539.52 : x
  2. Step 2: Convert to fraction form
    370,305.92/511,021.40 = 200,539.52/x
  3. Step 3: Cross multiply
    370,305.92x = 511,021.40 × 200,539.52
  4. Step 4: Simplify right side
    370,305.92x = 102,479,986,265.73
  5. Step 5: Solve for x
    x = 102,479,986,265.73/370,305.92
  6. Step 6: Final answer
    x = 276,744.12

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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.