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Finding the Fourth Proportional to 511,848.30, 767,772.36 and 274,864.98

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Solution

The fourth proportional to 511,848.30, 767,772.36 and 274,864.98 is: 412,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,848.30 : 767,772.36 = 274,864.98 : x
  2. Step 2: Convert to fraction form
    511,848.30/767,772.36 = 274,864.98/x
  3. Step 3: Cross multiply
    511,848.30x = 767,772.36 × 274,864.98
  4. Step 4: Simplify right side
    511,848.30x = 211,033,734,375.95
  5. Step 5: Solve for x
    x = 211,033,734,375.95/511,848.30
  6. Step 6: Final answer
    x = 412,297.42

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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.