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Finding the Fourth Proportional to 511,986.71, 768,976.66 and 417,286.87

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Solution

The fourth proportional to 511,986.71, 768,976.66 and 417,286.87 is: 626,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,986.71 : 768,976.66 = 417,286.87 : x
  2. Step 2: Convert to fraction form
    511,986.71/768,976.66 = 417,286.87/x
  3. Step 3: Cross multiply
    511,986.71x = 768,976.66 × 417,286.87
  4. Step 4: Simplify right side
    511,986.71x = 320,883,863,554.45
  5. Step 5: Solve for x
    x = 320,883,863,554.45/511,986.71
  6. Step 6: Final answer
    x = 626,742.56

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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.