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Finding the Fourth Proportional to 511,839.30, 767,758.86 and 274,855.98

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Solution

The fourth proportional to 511,839.30, 767,758.86 and 274,855.98 is: 412,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,839.30 : 767,758.86 = 274,855.98 : x
  2. Step 2: Convert to fraction form
    511,839.30/767,758.86 = 274,855.98/x
  3. Step 3: Cross multiply
    511,839.30x = 767,758.86 × 274,855.98
  4. Step 4: Simplify right side
    511,839.30x = 211,023,113,868.98
  5. Step 5: Solve for x
    x = 211,023,113,868.98/511,839.30
  6. Step 6: Final answer
    x = 412,283.92

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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.