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Finding the Fourth Proportional to 511,930.63, 767,298.02 and 385,163.60

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Solution

The fourth proportional to 511,930.63, 767,298.02 and 385,163.60 is: 577,295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,930.63 : 767,298.02 = 385,163.60 : x
  2. Step 2: Convert to fraction form
    511,930.63/767,298.02 = 385,163.60/x
  3. Step 3: Cross multiply
    511,930.63x = 767,298.02 × 385,163.60
  4. Step 4: Simplify right side
    511,930.63x = 295,535,267,656.07
  5. Step 5: Solve for x
    x = 295,535,267,656.07/511,930.63
  6. Step 6: Final answer
    x = 577,295.54

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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.