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Finding the Fourth Proportional to 370,765.80, 511,655.78 and 200,999.40

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Solution

The fourth proportional to 370,765.80, 511,655.78 and 200,999.40 is: 277,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,765.80 : 511,655.78 = 200,999.40 : x
  2. Step 2: Convert to fraction form
    370,765.80/511,655.78 = 200,999.40/x
  3. Step 3: Cross multiply
    370,765.80x = 511,655.78 × 200,999.40
  4. Step 4: Simplify right side
    370,765.80x = 102,842,504,786.53
  5. Step 5: Solve for x
    x = 102,842,504,786.53/370,765.80
  6. Step 6: Final answer
    x = 277,378.62

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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.