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Finding the Fourth Proportional to 511,989.80, 766,497.33 and 298,105.25

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Solution

The fourth proportional to 511,989.80, 766,497.33 and 298,105.25 is: 446,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,989.80 : 766,497.33 = 298,105.25 : x
  2. Step 2: Convert to fraction form
    511,989.80/766,497.33 = 298,105.25/x
  3. Step 3: Cross multiply
    511,989.80x = 766,497.33 × 298,105.25
  4. Step 4: Simplify right side
    511,989.80x = 228,496,874,351.50
  5. Step 5: Solve for x
    x = 228,496,874,351.50/511,989.80
  6. Step 6: Final answer
    x = 446,291.85

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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.