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Finding the Fourth Proportional to 511,311.90, 766,960.65 and 230,828.70

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Solution

The fourth proportional to 511,311.90, 766,960.65 and 230,828.70 is: 346,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,311.90 : 766,960.65 = 230,828.70 : x
  2. Step 2: Convert to fraction form
    511,311.90/766,960.65 = 230,828.70/x
  3. Step 3: Cross multiply
    511,311.90x = 766,960.65 × 230,828.70
  4. Step 4: Simplify right side
    511,311.90x = 177,036,529,790.66
  5. Step 5: Solve for x
    x = 177,036,529,790.66/511,311.90
  6. Step 6: Final answer
    x = 346,239.80

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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.