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Finding the Fourth Proportional to 511,049.40, 766,865.70 and 195,732.60

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Solution

The fourth proportional to 511,049.40, 766,865.70 and 195,732.60 is: 293,710.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,049.40 : 766,865.70 = 195,732.60 : x
  2. Step 2: Convert to fraction form
    511,049.40/766,865.70 = 195,732.60/x
  3. Step 3: Cross multiply
    511,049.40x = 766,865.70 × 195,732.60
  4. Step 4: Simplify right side
    511,049.40x = 150,100,617,311.82
  5. Step 5: Solve for x
    x = 150,100,617,311.82/511,049.40
  6. Step 6: Final answer
    x = 293,710.58

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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.