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Finding the Fourth Proportional to 511,988.20, 766,232.70 and 449,002.60

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Solution

The fourth proportional to 511,988.20, 766,232.70 and 449,002.60 is: 671,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,988.20 : 766,232.70 = 449,002.60 : x
  2. Step 2: Convert to fraction form
    511,988.20/766,232.70 = 449,002.60/x
  3. Step 3: Cross multiply
    511,988.20x = 766,232.70 × 449,002.60
  4. Step 4: Simplify right side
    511,988.20x = 344,040,474,505.02
  5. Step 5: Solve for x
    x = 344,040,474,505.02/511,988.20
  6. Step 6: Final answer
    x = 671,969.54

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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.