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Finding the Fourth Proportional to 511,872.90, 767,809.20 and 274,889.58

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Solution

The fourth proportional to 511,872.90, 767,809.20 and 274,889.58 is: 412,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,872.90 : 767,809.20 = 274,889.58 : x
  2. Step 2: Convert to fraction form
    511,872.90/767,809.20 = 274,889.58/x
  3. Step 3: Cross multiply
    511,872.90x = 767,809.20 × 274,889.58
  4. Step 4: Simplify right side
    511,872.90x = 211,062,748,508.14
  5. Step 5: Solve for x
    x = 211,062,748,508.14/511,872.90
  6. Step 6: Final answer
    x = 412,334.29

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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.