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Finding the Fourth Proportional to 511,820.40, 768,313.80 and 301,576.80

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Solution

The fourth proportional to 511,820.40, 768,313.80 and 301,576.80 is: 452,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,820.40 : 768,313.80 = 301,576.80 : x
  2. Step 2: Convert to fraction form
    511,820.40/768,313.80 = 301,576.80/x
  3. Step 3: Cross multiply
    511,820.40x = 768,313.80 × 301,576.80
  4. Step 4: Simplify right side
    511,820.40x = 231,705,617,199.84
  5. Step 5: Solve for x
    x = 231,705,617,199.84/511,820.40
  6. Step 6: Final answer
    x = 452,708.84

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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.