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Finding the Fourth Proportional to 416,003.06, 622,779.86 and 257,722.58

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Solution

The fourth proportional to 416,003.06, 622,779.86 and 257,722.58 is: 385,825.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,003.06 : 622,779.86 = 257,722.58 : x
  2. Step 2: Convert to fraction form
    416,003.06/622,779.86 = 257,722.58/x
  3. Step 3: Cross multiply
    416,003.06x = 622,779.86 × 257,722.58
  4. Step 4: Simplify right side
    416,003.06x = 160,504,432,291.24
  5. Step 5: Solve for x
    x = 160,504,432,291.24/416,003.06
  6. Step 6: Final answer
    x = 385,825.12

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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.