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Finding the Fourth Proportional to 511,617.48, 767,958.50 and 376,833.73

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Solution

The fourth proportional to 511,617.48, 767,958.50 and 376,833.73 is: 565,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,617.48 : 767,958.50 = 376,833.73 : x
  2. Step 2: Convert to fraction form
    511,617.48/767,958.50 = 376,833.73/x
  3. Step 3: Cross multiply
    511,617.48x = 767,958.50 × 376,833.73
  4. Step 4: Simplify right side
    511,617.48x = 289,392,666,040.21
  5. Step 5: Solve for x
    x = 289,392,666,040.21/511,617.48
  6. Step 6: Final answer
    x = 565,642.65

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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.