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Finding the Fourth Proportional to 511,838.30, 767,757.36 and 274,854.98

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Solution

The fourth proportional to 511,838.30, 767,757.36 and 274,854.98 is: 412,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,838.30 : 767,757.36 = 274,854.98 : x
  2. Step 2: Convert to fraction form
    511,838.30/767,757.36 = 274,854.98/x
  3. Step 3: Cross multiply
    511,838.30x = 767,757.36 × 274,854.98
  4. Step 4: Simplify right side
    511,838.30x = 211,021,933,827.65
  5. Step 5: Solve for x
    x = 211,021,933,827.65/511,838.30
  6. Step 6: Final answer
    x = 412,282.42

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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.