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Finding the Fourth Proportional to 416,010.06, 622,790.37 and 257,729.58

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Solution

The fourth proportional to 416,010.06, 622,790.37 and 257,729.58 is: 385,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,010.06 : 622,790.37 = 257,729.58 : x
  2. Step 2: Convert to fraction form
    416,010.06/622,790.37 = 257,729.58/x
  3. Step 3: Cross multiply
    416,010.06x = 622,790.37 × 257,729.58
  4. Step 4: Simplify right side
    416,010.06x = 160,511,500,488.15
  5. Step 5: Solve for x
    x = 160,511,500,488.15/416,010.06
  6. Step 6: Final answer
    x = 385,835.62

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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.