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Finding the Fourth Proportional to 511,817.40, 768,309.30 and 301,573.80

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Solution

The fourth proportional to 511,817.40, 768,309.30 and 301,573.80 is: 452,704.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,817.40 : 768,309.30 = 301,573.80 : x
  2. Step 2: Convert to fraction form
    511,817.40/768,309.30 = 301,573.80/x
  3. Step 3: Cross multiply
    511,817.40x = 768,309.30 × 301,573.80
  4. Step 4: Simplify right side
    511,817.40x = 231,701,955,176.34
  5. Step 5: Solve for x
    x = 231,701,955,176.34/511,817.40
  6. Step 6: Final answer
    x = 452,704.33

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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.