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Finding the Fourth Proportional to 511,930.88, 767,298.40 and 385,163.85

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Solution

The fourth proportional to 511,930.88, 767,298.40 and 385,163.85 is: 577,295.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,930.88 : 767,298.40 = 385,163.85 : x
  2. Step 2: Convert to fraction form
    511,930.88/767,298.40 = 385,163.85/x
  3. Step 3: Cross multiply
    511,930.88x = 767,298.40 × 385,163.85
  4. Step 4: Simplify right side
    511,930.88x = 295,535,604,879.93
  5. Step 5: Solve for x
    x = 295,535,604,879.93/511,930.88
  6. Step 6: Final answer
    x = 577,295.92

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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.