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Finding the Fourth Proportional to 511,805.88, 767,380.35 and 212,493.06

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Solution

The fourth proportional to 511,805.88, 767,380.35 and 212,493.06 is: 318,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,805.88 : 767,380.35 = 212,493.06 : x
  2. Step 2: Convert to fraction form
    511,805.88/767,380.35 = 212,493.06/x
  3. Step 3: Cross multiply
    511,805.88x = 767,380.35 × 212,493.06
  4. Step 4: Simplify right side
    511,805.88x = 163,062,998,755.37
  5. Step 5: Solve for x
    x = 163,062,998,755.37/511,805.88
  6. Step 6: Final answer
    x = 318,603.21

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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.